A water problem

Time Limit: 5000/2500 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 826    Accepted Submission(s): 428

Problem Description
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
10001 0 333
 

Sample Output
Case #1: YES Case #2: YES Case #3: NO
 

Author
UESTC
 

Source
2016中国大学生程序设计竞赛 - 网络选拔赛 


思路：
这道题的题意很清楚，就是让你求73和137的的公倍数。因为73和137的最小公倍数是10001，所以其实也就是求这个数能不能模10001余0。但是由于输入的数是10000000位的数，用long long来装是肯定不行的，所以考虑用高精度。套用一个大数取余的模板
就可以。这里选择手动大数取模。

代码： 
#include<iostream>  
#include<string>  
#include<cstdio>  
int const maxn=10000000+5;  
char str[maxn];  
using namespace std;  
int main(){  
   //freopen("in.txt","r",stdin);  
    int t=0;  
    while(scanf("%s",str)!=EOF)  
    {  
        t++;  
        int i;  
        int rem=0;  
        for(i=0;str[i];i++){  
            rem=rem*10+str[i]-'0';  
            rem=rem%10001;  
        }  
        printf("Case #%d: ",t);  
        if(rem==0) printf("YES\n");  
        else printf("NO\n");  
    }  
}