1519 Digital Roots

Digital Roots

Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 8060   Accepted: 2891

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

 

Sample Output

 

Source
Greater New York 2000

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Source Code

#include "stdio.h"#include "string.h"/*用字符串,去弥补整型过大问题,考虑整型过大时程序*/int main (){       long int i,k,n,sum;    char a[10000];    for(;scanf("%s",a)!=EOF;)    {           if(a[0]=='0') return 1;        sum=0;        n=strlen(a);        for(i=0;i<n;i++)            sum+=a[i]-48;        k=sum;        if(k>9)             for(sum=0;;)            {                   for(;k!=0;)                {                    sum+=k%10;                    k=k/10;                }                if(sum<10) break;                else {k=sum;sum=0;}            }                printf("%d/n",sum);    }    return 1;} 

 

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