ACM学习-POJ-1003-Hangover
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ACM学习-POJ-1003-Hangover
Description
How far can you make a stack of cards overhang a table? If you have one card, you can create a maximum overhang of half a card length. (We're assuming that the cards must be perpendicular to the table.) With two cards you can make the top card overhang the bottom one by half a card length, and the bottom one overhang the table by a third of a card length, for a total maximum overhang of 1/2 + 1/3 = 5/6 card lengths. In general you can make n cards overhang by 1/2 + 1/3 + 1/4 + ... + 1/(n + 1) card lengths, where the top card overhangs the second by 1/2, the second overhangs tha third by 1/3, the third overhangs the fourth by 1/4, etc., and the bottom card overhangs the table by 1/(n + 1). This is illustrated in the figure below.
Input
Output
Sample Input
1.003.710.045.190.00
Sample Output
3 card(s)61 card(s)1 card(s)273 card(s)
Source
问题要求:已知c=1/2+1/3+1/4+....1/(n+1).现给出一个值m,求n的值使得c刚好超过m。
问题分析:问题很简单,就是遍历,直到找到满足条件的那个n。 但是要注意运算的时候进行类型转换。(最早做的时候卡在这里了,一时粗心没注意)
下面给出AC代码
#include <stdio.h>int main(){ double sum_; double result_; int n; while ((~scanf("%lf", &sum_)) && sum_ != 0.00 ) { result_ = 0.00; for (n=2;result_ <= sum_ ; n++) { result_ += 1.00/(double)n;//注意类型的转换 } printf("%d card(s)\n", n-2); } return 0;}
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