Digital Roots

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

 

Sample Output

 

Source

Greater New York 2000

题目链接：http://acm.hdu.edu.cn/showproblem.php?pid=1013

分析：很智障的题，我当时一直在想这怎么处理数字问题，没考虑这输入数字无限大的问题，sb啊，直接字符串从低到高位搞一下就好了，每一位处理即可！
下面给出AC代码：

 1 #include <bits/stdc++.h> 2 using namespace std; 3 int main() 4 { 5     string str; 6     while(cin>>str&&str!="0") 7     { 8         int num=0; 9         for(int i=0;i<str.length();i++)10         {11             num+=str[i]-‘0‘;12             if(num>9)13                 num=num/10+num%10;14         }15         cout<<num<<endl;16     }17     return 0;18 }