A self-dividing number is a number that is divisible by every digit it contains.

For example, 128 is a self-dividing number because 128 % 1 == 0, 128 % 2 == 0, and 128 % 8 == 0.

Also, a self-dividing number is not allowed to contain the digit zero.

Given a lower and upper number bound, output a list of every possible self dividing number, including the bounds if possible.

Example 1:

Input: 
left = 1, right = 22
Output: [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 22]

Note:

• The boundaries of each input argument are 1 <= left <= right <= 10000.

找出給定區間內的自分數，自分數就是可以整除的數字中每一位數的那個數。由此判斷自分數中不含有數字0。

首先寫一個函數來判斷自分數，按照自分數的定義書寫即可。註意判斷數字0不能是除數。

然後在主函數中，循環添加符合要求的自分數。

class Solution {
 
public:
    vector<int> selfDividingNumbers(int left, int right) {
        vector<int> res;
        for (int i = left; i <= right; i++) {
            if (isSelfDividingNumbers(i))
                res.push_back(i);
        }
        return res;
    }
    bool isSelfDividingNumbers(int num) {
        
 
int tmp = num, digit = 0;
        while (tmp) {
            digit = tmp % 10;
            if (digit == 0 || num % digit != 0)
                return false;
            tmp /= 10;
        }
        return true;
    }
};
// 3 ms

[LeetCode] Self Dividing Numbers