杭電 1013 Digital Roots

這題嘛，不用多說，難度不大，唯一要注意的，也是ACM經常耍的花招：1000以内的單次輸入量。也就是說，它可能輸入1000 個數字字元，直覺點舉例，就是：

8947129387523745194375983274597435792834527345297349594375972345414132413577230

諸如此類。

是以必須用字元串來解決。

/* THE PROGRAM IS MADE BY PYY */

/*----------------------------------------------------------

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

Digital Roots

Begin : 15:30

End : 15:57

----------------------------------------------------------*/

#include <iostream>

using namespace std;

int main()

{

int sum, tmp, i;

char c;

while (cin >> c && c != '0') {

sum = c - '0';

while (cin.get(c) && c != '/n') {

sum += c - '0';

}

tmp = sum;

sum = 0;

while (tmp) {

sum += tmp % 10;

tmp /= 10;

if (!tmp && sum > 9) {

tmp = sum;

sum = 0;

}

}

cout << sum << endl;

}

return 0;

}

------------------------------------------  原題如下 ---------------------------------------------

Digital Roots

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

Total Submission(s): 19048    Accepted Submission(s): 5487

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