hdu 4893 欧拉函数

来源：互联网发布：淘宝改了名称搜不到编辑：程序博客网时间：2024/06/04 18:35

<h1 style="color: rgb(26, 92, 200); text-align: center; font-family: 'Times New Roman';">Goffi and GCD</h1><span style="font-family: 'Times New Roman';font-size:14px; text-align: -webkit-center;"><strong><span style="font-family: Arial; font-size: 12px; color: green;">Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 631    Accepted Submission(s): 228</span></strong></span><br style="font-family: 'Times New Roman';font-size:14px; text-align: -webkit-center;" /><br style="font-family: 'Times New Roman';font-size:14px; text-align: -webkit-center;" /><div class="panel_title" align="left" style="height: 38px; padding: 0px 14px; color: rgb(124, 169, 237); font-size: 18px; font-family: Arial; font-weight: bold; background: url(http://acm.hdu.edu.cn/images/panel-title.png) 0% 100% no-repeat transparent;">Problem Description</div><div class="panel_content" style="height: auto; margin: 0px; padding: 0px 20px; font-size: 14px; font-family: 'Times New Roman'; background: url(http://acm.hdu.edu.cn/images/panel-content.png) repeat-y;">Goffi is doing his math homework and he finds an equality on his text book: <span class="MathJax_Preview" style="color: rgb(136, 136, 136);"></span><span class="MathJax" id="MathJax-Element-1-Frame" role="textbox" aria-readonly="true" style="display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px;"><nobr style="transition: none; -webkit-transition: none; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px;"><span class="math" id="MathJax-Span-1" style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 15.121em;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 14.636em; height: 0px; font-size: 14.6666669845581px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.668em 1000.003em 3.193em -0.621em); top: -2.701em; left: 0.003em;"><span class="mrow" id="MathJax-Span-2" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span class="mo" id="MathJax-Span-3" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">gcd</span><span class="mo" id="MathJax-Span-4" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-5" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">n</span><span class="mo" id="MathJax-Span-6" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.212em; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">−</span><span class="mi" id="MathJax-Span-7" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.212em; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">a</span><span class="mo" id="MathJax-Span-8" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-9" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.142em; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">n</span><span class="mo" id="MathJax-Span-10" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-11" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.212em; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">×</span><span class="mo" id="MathJax-Span-12" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.212em; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">gcd</span><span class="mo" id="MathJax-Span-13" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-14" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">n</span><span class="mo" id="MathJax-Span-15" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.212em; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">−</span><span class="mi" id="MathJax-Span-16" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.212em; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">b</span><span class="mo" id="MathJax-Span-17" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-18" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.142em; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">n</span><span class="mo" id="MathJax-Span-19" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-20" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.281em; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">=</span><span class="msubsup" id="MathJax-Span-21" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.281em; margin: 0px; vertical-align: 0px;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 1.044em; height: 0px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.876em 1000.003em 2.708em -0.621em); top: -2.493em; left: 0.003em;"><span class="mi" id="MathJax-Span-22" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">n</span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.5em;"></span></span><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; top: -2.354em; left: 0.628em;"><span class="mi" id="MathJax-Span-23" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-size: 10px; font-family: MathJax_Math-italic;">k</span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.015em;"></span></span></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.708em;"></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border-width: 0px 0px 0px 0.004em; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -0.354em; overflow: hidden; width: 0px; height: 1.289em;"></span></span></nobr></span>.Goffi wants to know the number of (<span class="MathJax_Preview" style="color: rgb(136, 136, 136);"></span><span class="MathJax" id="MathJax-Element-2-Frame" role="textbox" aria-readonly="true" style="display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px;"><nobr style="transition: none; -webkit-transition: none; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px;"><span class="math" id="MathJax-Span-24" style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 1.46em;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 1.39em; height: 0px; font-size: 14.6666669845581px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.807em 1000.003em 3.124em -0.621em); top: -2.701em; left: 0.003em;"><span class="mrow" id="MathJax-Span-25" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span class="mi" id="MathJax-Span-26" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">a</span><span class="mo" id="MathJax-Span-27" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-28" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.142em; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">b</span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.708em;"></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border-width: 0px 0px 0px 0.004em; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -0.282em; overflow: hidden; width: 0px; height: 1.075em;"></span></span></nobr></span>) satisfy the equality, if <span class="MathJax_Preview" style="color: rgb(136, 136, 136);"></span><span class="MathJax" id="MathJax-Element-3-Frame" role="textbox" aria-readonly="true" style="display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px;"><nobr style="transition: none; -webkit-transition: none; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px;"><span class="math" id="MathJax-Span-29" style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0.697em;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0.628em; height: 0px; font-size: 14.6666669845581px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.876em 1000.003em 2.708em -0.621em); top: -2.493em; left: 0.003em;"><span class="mrow" id="MathJax-Span-30" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span class="mi" id="MathJax-Span-31" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">n</span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.5em;"></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border-width: 0px 0px 0px 0.004em; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -0.068em; overflow: hidden; width: 0px; height: 0.646em;"></span></span></nobr></span> and <span class="MathJax_Preview" style="color: rgb(136, 136, 136);"></span><span class="MathJax" id="MathJax-Element-4-Frame" role="textbox" aria-readonly="true" style="display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px;"><nobr style="transition: none; -webkit-transition: none; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px;"><span class="math" id="MathJax-Span-32" style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0.558em;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0.558em; height: 0px; font-size: 14.6666669845581px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.598em 1000.003em 2.708em -0.551em); top: -2.493em; left: 0.003em;"><span class="mrow" id="MathJax-Span-33" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span class="mi" id="MathJax-Span-34" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">k</span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.5em;"></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border-width: 0px 0px 0px 0.004em; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -0.068em; overflow: hidden; width: 0px; height: 0.861em;"></span></span></nobr></span> are given and <span class="MathJax_Preview" style="color: rgb(136, 136, 136);"></span><span class="MathJax" id="MathJax-Element-5-Frame" role="textbox" aria-readonly="true" style="display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px;"><nobr style="transition: none; -webkit-transition: none; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px;"><span class="math" id="MathJax-Span-35" style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 5.413em;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 5.205em; height: 0px; font-size: 14.6666669845581px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.807em 1000.003em 3.124em -0.551em); top: -2.701em; left: 0.003em;"><span class="mrow" id="MathJax-Span-36" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span class="mn" id="MathJax-Span-37" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-38" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.281em; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">≤</span><span class="mi" id="MathJax-Span-39" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.281em; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">a</span><span class="mo" id="MathJax-Span-40" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-41" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.142em; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">b</span><span class="mo" id="MathJax-Span-42" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.281em; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">≤</span><span class="mi" id="MathJax-Span-43" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.281em; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">n</span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.708em;"></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border-width: 0px 0px 0px 0.004em; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -0.282em; overflow: hidden; width: 0px; height: 1.075em;"></span></span></nobr></span>.Note: <span class="MathJax_Preview" style="color: rgb(136, 136, 136);"></span><span class="MathJax" id="MathJax-Element-6-Frame" role="textbox" aria-readonly="true" style="display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px;"><nobr style="transition: none; -webkit-transition: none; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px;"><span class="math" id="MathJax-Span-44" style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 3.818em;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 3.679em; height: 0px; font-size: 14.6666669845581px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.737em 1000.003em 3.193em -0.621em); top: -2.701em; left: 0.003em;"><span class="mrow" id="MathJax-Span-45" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span class="mo" id="MathJax-Span-46" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">gcd</span><span class="mo" id="MathJax-Span-47" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-48" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">a</span><span class="mo" id="MathJax-Span-49" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-50" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.142em; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">b</span><span class="mo" id="MathJax-Span-51" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">)</span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.708em;"></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border-width: 0px 0px 0px 0.004em; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -0.354em; overflow: hidden; width: 0px; height: 1.146em;"></span></span></nobr></span> means greatest common divisor of <span class="MathJax_Preview" style="color: rgb(136, 136, 136);"></span><span class="MathJax" id="MathJax-Element-7-Frame" role="textbox" aria-readonly="true" style="display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px;"><nobr style="transition: none; -webkit-transition: none; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px;"><span class="math" id="MathJax-Span-52" style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0.558em;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0.558em; height: 0px; font-size: 14.6666669845581px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.876em 1000.003em 2.708em -0.621em); top: -2.493em; left: 0.003em;"><span class="mrow" id="MathJax-Span-53" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span class="mi" id="MathJax-Span-54" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">a</span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.5em;"></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border-width: 0px 0px 0px 0.004em; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -0.068em; overflow: hidden; width: 0px; height: 0.646em;"></span></span></nobr></span> and <span class="MathJax_Preview" style="color: rgb(136, 136, 136);"></span><span class="MathJax" id="MathJax-Element-8-Frame" role="textbox" aria-readonly="true" style="display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px;"><nobr style="transition: none; -webkit-transition: none; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px;"><span class="math" id="MathJax-Span-55" style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0.489em;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0.489em; height: 0px; font-size: 14.6666669845581px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.598em 1000.003em 2.708em -0.551em); top: -2.493em; left: 0.003em;"><span class="mrow" id="MathJax-Span-56" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span class="mi" id="MathJax-Span-57" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">b</span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.5em;"></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border-width: 0px 0px 0px 0.004em; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -0.068em; overflow: hidden; width: 0px; height: 0.861em;"></span></span></nobr></span>.</div><div class="panel_bottom" style="height: auto; margin: 0px; font-family: 'Times New Roman';font-size:14px; text-align: -webkit-center; background: url(http://acm.hdu.edu.cn/images/panel-bottom.png) 0% 0% no-repeat;"> </div><br style="font-family: 'Times New Roman';font-size:14px; text-align: -webkit-center;" /><div class="panel_title" align="left" style="height: 38px; padding: 0px 14px; color: rgb(124, 169, 237); font-size: 18px; font-family: Arial; font-weight: bold; background: url(http://acm.hdu.edu.cn/images/panel-title.png) 0% 100% no-repeat transparent;">Input</div><div class="panel_content" style="height: auto; margin: 0px; padding: 0px 20px; font-size: 14px; font-family: 'Times New Roman'; background: url(http://acm.hdu.edu.cn/images/panel-content.png) repeat-y;">Input contains multiple test cases (less than 100). For each test case, there's one line containing two integers <span class="MathJax_Preview" style="color: rgb(136, 136, 136);"></span><span class="MathJax" id="MathJax-Element-9-Frame" role="textbox" aria-readonly="true" style="display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px;"><nobr style="transition: none; -webkit-transition: none; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px;"><span class="math" id="MathJax-Span-58" style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0.697em;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0.628em; height: 0px; font-size: 14.6666669845581px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.876em 1000.003em 2.708em -0.621em); top: -2.493em; left: 0.003em;"><span class="mrow" id="MathJax-Span-59" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span class="mi" id="MathJax-Span-60" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">n</span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.5em;"></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border-width: 0px 0px 0px 0.004em; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -0.068em; overflow: hidden; width: 0px; height: 0.646em;"></span></span></nobr></span> and <span class="MathJax_Preview" style="color: rgb(136, 136, 136);"></span><span class="MathJax" id="MathJax-Element-10-Frame" role="textbox" aria-readonly="true" style="display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px;"><nobr style="transition: none; -webkit-transition: none; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px;"><span class="math" id="MathJax-Span-61" style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0.558em;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0.558em; height: 0px; font-size: 14.6666669845581px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.598em 1000.003em 2.708em -0.551em); top: -2.493em; left: 0.003em;"><span class="mrow" id="MathJax-Span-62" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span class="mi" id="MathJax-Span-63" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">k</span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.5em;"></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border-width: 0px 0px 0px 0.004em; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -0.068em; overflow: hidden; width: 0px; height: 0.861em;"></span></span></nobr></span> (<span class="MathJax_Preview" style="color: rgb(136, 136, 136);"></span><span class="MathJax" id="MathJax-Element-11-Frame" role="textbox" aria-readonly="true" style="display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px;"><nobr style="transition: none; -webkit-transition: none; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px;"><span class="math" id="MathJax-Span-64" style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 6.383em;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 6.175em; height: 0px; font-size: 14.6666669845581px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.668em 1000.003em 3.124em -0.551em); top: -2.701em; left: 0.003em;"><span class="mrow" id="MathJax-Span-65" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span class="mn" id="MathJax-Span-66" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-67" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.281em; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">≤</span><span class="mi" id="MathJax-Span-68" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.281em; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">n</span><span class="mo" id="MathJax-Span-69" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-70" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.142em; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">k</span><span class="mo" id="MathJax-Span-71" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.281em; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">≤</span><span class="msubsup" id="MathJax-Span-72" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.281em; margin: 0px; vertical-align: 0px;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 1.46em; height: 0px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.807em 1000.003em 2.916em -0.551em); top: -2.701em; left: 0.003em;"><span class="mn" id="MathJax-Span-73" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">10</span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.708em;"></span></span><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; top: -2.632em; left: 1.044em;"><span class="mn" id="MathJax-Span-74" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-size: 10px; font-family: MathJax_Main;">9</span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.223em;"></span></span></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.708em;"></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border-width: 0px 0px 0px 0.004em; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -0.282em; overflow: hidden; width: 0px; height: 1.218em;"></span></span></nobr></span>).</div><div class="panel_bottom" style="height: auto; margin: 0px; font-family: 'Times New Roman';font-size:14px; text-align: -webkit-center; background: url(http://acm.hdu.edu.cn/images/panel-bottom.png) 0% 0% no-repeat;"> </div><br style="font-family: 'Times New Roman';font-size:14px; text-align: -webkit-center;" /><div class="panel_title" align="left" style="height: 38px; padding: 0px 14px; color: rgb(124, 169, 237); font-size: 18px; font-family: Arial; font-weight: bold; background: url(http://acm.hdu.edu.cn/images/panel-title.png) 0% 100% no-repeat transparent;">Output</div><div class="panel_content" style="height: auto; margin: 0px; padding: 0px 20px; font-size: 14px; font-family: 'Times New Roman'; background: url(http://acm.hdu.edu.cn/images/panel-content.png) repeat-y;">For each test case, output a single integer indicating the number of (<span class="MathJax_Preview" style="color: rgb(136, 136, 136);"></span><span class="MathJax" id="MathJax-Element-12-Frame" role="textbox" aria-readonly="true" style="display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px;"><nobr style="transition: none; -webkit-transition: none; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px;"><span class="math" id="MathJax-Span-75" style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 1.46em;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 1.39em; height: 0px; font-size: 14.6666669845581px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.807em 1000.003em 3.124em -0.621em); top: -2.701em; left: 0.003em;"><span class="mrow" id="MathJax-Span-76" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span class="mi" id="MathJax-Span-77" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">a</span><span class="mo" id="MathJax-Span-78" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-79" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.142em; margin: 0px; vertical-align: 0px; font-family: MathJax_Math-italic;">b</span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.708em;"></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border-width: 0px 0px 0px 0.004em; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -0.282em; overflow: hidden; width: 0px; height: 1.075em;"></span></span></nobr></span>) modulo <span class="MathJax_Preview" style="color: rgb(136, 136, 136);"></span><span class="MathJax" id="MathJax-Element-13-Frame" role="textbox" aria-readonly="true" style="display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px;"><nobr style="transition: none; -webkit-transition: none; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px;"><span class="math" id="MathJax-Span-80" style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 3.263em;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 3.124em; height: 0px; font-size: 14.6666669845581px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.668em 1000.003em 2.985em -0.551em); top: -2.701em; left: 0.003em;"><span class="mrow" id="MathJax-Span-81" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span class="msubsup" id="MathJax-Span-82" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px;"><span style="transition: none; -webkit-transition: none; display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 1.46em; height: 0px;"><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(1.807em 1000.003em 2.916em -0.551em); top: -2.701em; left: 0.003em;"><span class="mn" id="MathJax-Span-83" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">10</span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.708em;"></span></span><span style="transition: none; -webkit-transition: none; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; top: -2.632em; left: 1.044em;"><span class="mn" id="MathJax-Span-84" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; font-size: 10px; font-family: MathJax_Main;">9</span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.223em;"></span></span></span></span><span class="mo" id="MathJax-Span-85" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.212em; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-86" style="transition: none; -webkit-transition: none; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.212em; margin: 0px; vertical-align: 0px; font-family: MathJax_Main;">7</span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 2.708em;"></span></span></span><span style="transition: none; -webkit-transition: none; display: inline-block; position: static; border-width: 0px 0px 0px 0.004em; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -0.139em; overflow: hidden; width: 0px; height: 1.146em;"></span></span></nobr></span>.</div><div class="panel_bottom" style="height: auto; margin: 0px; font-family: 'Times New Roman';font-size:14px; text-align: -webkit-center; background: url(http://acm.hdu.edu.cn/images/panel-bottom.png) 0% 0% no-repeat;"> </div><br style="font-family: 'Times New Roman';font-size:14px; text-align: -webkit-center;" /><div class="panel_title" align="left" style="height: 38px; padding: 0px 14px; color: rgb(124, 169, 237); font-size: 18px; font-family: Arial; font-weight: bold; background: url(http://acm.hdu.edu.cn/images/panel-title.png) 0% 100% no-repeat transparent;">Sample Input</div><div class="panel_content" style="height: auto; margin: 0px; padding: 0px 20px; font-size: 14px; font-family: 'Times New Roman'; background: url(http://acm.hdu.edu.cn/images/panel-content.png) repeat-y;"><pre style="word-wrap: break-word; white-space: pre-wrap; margin-top: 0px; margin-bottom: 0px;"><div style="font-family: 'Courier New', Courier, monospace;">2 13 2</div>

Sample Output

21Hint
For the first case, (2, 1) and (1, 2) satisfy the equality.

#include<iostream>#include<cstdio>#include<algorithm>using namespace std;int N,K;int phi(int n){// int m=(int)sqrt(n+0.5);int ans=n;for(int i=2;i*i<=n;i++){if(n%i==0){ans=ans/i*(i-1);while(n%i==0)n/=i;}}if(n>1) ans=ans/n*(n-1);return ans;}int main(){int i,j,k,m,n;while(scanf("%d%d",&N,&K)==2){ if(N==1){printf("1\n");continue;} if(K>2){printf("0\n");continue;} if(K==2){ printf("1\n");// printf("%lld\n",(long long )phi(N)*phi(N)%1000000007); } else{ long long ans=0; for(i=1;i*i<N;i++){ if(N%i==0)ans=(ans+2*(long long )phi(i)*phi(N/i))%1000000007; } if(i*i==N) ans=(ans+(long long )phi(i)*phi(i))%1000000007; printf("%lld\n",ans); }}return 0;}

0 0