Sunday, August 16, 2015

[LeetCode] Add Digits

Given a non-negative integer num, repeatedly add all its digits until the result has only one digit.
For example:
Given num = 38, the process is like: 3 + 8 = 111 + 1 = 2. Since 2 has only one digit, return it.
Please refer to this formula:
The formula is:
 \operatorname{dr}(n) = \begin{cases}0 & \mbox{if}\ n = 0, \\ 9 & \mbox{if}\ n \neq 0,\ n\ \equiv 0\pmod{9},\\ n\ {\rm mod}\ 9 & \mbox{if}\ n \not\equiv 0\pmod{9}.\end{cases}

class Solution {
public:
    int addDigits(int num) {
        if(0 == num) return 0;
        if(num % 9 == 0) return 9;
        return num % 9;
    }
};