HDU 1013 Digital Roots (无限大数）

Time limit
1000 ms
Memory limit
32768 kB

 The digital root of a positive integer is found by summing the digits of the integer. If the resulting value is a single digit then that digit is the digital root. If the resulting value contains two or more digits, those digits are summed and the process is repeated. This is continued as long as necessary to obtain a single digit.

For example, consider the positive integer 24. Adding the 2 and the 4 yields a value of 6. Since 6 is a single digit, 6 is the digital root of 24. Now consider the positive integer 39. Adding the 3 and the 9 yields 12. Since 12 is not a single digit, the process must be repeated. Adding the 1 and the 2 yeilds 3, a single digit and also the digital root of 39.

Input
The input file will contain a list of positive integers, one per line. The end of the input will be indicated by an integer value of zero.
Output
For each integer in the input, output its digital root on a separate line of the output.
Sample Input

24
39
0

Sample Output

6
3

思路：
坑点就一个，给的数可能无限大，也就是超long long很多。
除此以外就是个水题。

代码：

#include <cstdio>
#include <iostream>
#include <algorithm>
#include <cmath>
#include <cstring>

using namespace std;

long long Sep(long long N){
    int mid=0;
    while(N){
        mid += N%10;
        N /= 10;
    }
    return mid;
}

int main(){
    string N;
    while(cin>>N){
        if(N == "0")break;
        int len = N.length();
        long long mid  = 0;
        for(int i=0 ; i<len ; i++){
            mid += (long long)(N[i] - '0');
        }
        while(mid>=10)mid = Sep(mid);
        printf("%lld\n",mid);
    }
    return 0;
}