2016中国大学生程序设计竞赛 - 网络选拔赛 1001 A water problem　（大数取余）

Problem Descripton

Two planets named Haha and Xixi in the universe and they were created with the universe beginning.

There is 73 days in Xixi a year and 137 days in Haha a year.

Now you know the days N after Big Bang, you need to answer whether it is the first day in a year about the two planets.

Input

There are several test cases(about 5 huge test cases).

For each test, we have a line with an only integer N(0≤N), the length of N is up to 10000000.

Output

For the i-th test case, output Case #i: , then output "YES" or "NO" for the answer.

Sample Input

Sample Output
Case #: YES
Case #: YES
Case #: NO

题目链接：http://acm.hdu.edu.cn/showproblem.php?pid=5832

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题意：嘻嘻和哈哈两个星球分别以73和137为一年的周期，给你天数，判断是否是两个星球的新一年第一天。

分析：周期嘛：10001就是73和137的最小公倍数。然后输入的是字符串，注意给的范围是字符串的长度不是数的大小，所以用到大数求余，仅此而已。

ＡＣ代码：

 #include <iostream>
 #include <cstdio>
 #include <cstring>
 #include <algorithm>
 #include <cmath>
 #include <stack>
 #include <map>
 #include <vector>
 using namespace std;

 #define N 12000000
 #define INF 0x3f3f3f3f

 char s[N];

 int main()
 {
     int k=,len,x,d,i;

     while(scanf("%s", s) != EOF)
     {
         k++;
         len = strlen(s);

         x=;
         d=;

         for(i=;i<len;i++)
             d=(d*+(s[i]-'')%x)%x;

         if(d==)
             printf("Case #%d: YES\n",k);
         else
             printf("Case #%d: NO\n",k);
     }
     return ;
 }