HDU1695 GCD
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题目重现
Given 5 integers:
Since the number of choices may be very large, you’re only required to output the total number of different number pairs.
Please notice that,
You can assume that
Input
The input consists of several test cases. The first line of the input is the number of the cases. There are no more than 3,000 cases.
Each case contains five integers:
,as described above.
Output
For each test case, print the number of choices. Use the format in the example.
Sample Input
21 3 1 5 11 11014 1 14409 9
Sample Output
Case 1: 9Case 2: 736427
题解
问题基于一个简单的结论:
设
可见有:
由莫比乌斯反演原理有:
所以:
此题中要求
不妨设
参考代码
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