HDU1013_Digital Roots【大数】【水题】

Digital Roots

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)

Total Submission(s): 49834    Accepted Submission(s): 15544

Problem Description

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

 





Source

Greater New York 2000

 





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题目大意：给你一个数，若这个数的各个位数上的和为一位数字，则输出结果。

否则继续计算上一结果

的各个位数上的和。知道结果为一位数字，进行输出

思路：本以为九余数定理直接水过。发现64位数也不行~果断大数A过

#include<stdio.h>
#include<string.h>
char num[110];
int main()
{
    while(~scanf("%s",num) && num[0]!='0')
    {
        int len = strlen(num);
        int sum = 0;
        for(int i = 0; i < len; i++)
        {
            sum += num[i] - '0';
        }

        while(sum > 9)
        {
            int a = 0;
            while(sum > 0)
            {
                a += sum % 10;
                sum /= 10;
            }
            if(a != 0)
                sum = a;
        }

        printf("%d\n",sum);
    }
    return 0;
}