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.

Java Solution:

Runtime beats 42.86%

完成日期：02/16/2018

關鍵詞：Math

關鍵點：% 10 拿到digit；/ 10 去除digit

 1 class Solution 
 2 {
 3     public List<Integer> selfDividingNumbers(int left, int right) 
 4     {
 5         List<Integer> res = new ArrayList<>();
 6         
 7         for(int i=left; i<=right; i++) //
 
 iterate each number
 8         {
 9             boolean sd = true;
10             int num = i;
11             
12             while(num > 0) // check whether this number is self-dividing number
13             {
14                 int digit = num % 10;
15                 
16                 if(digit == 0 || i % digit != 0)
17                 {
18                     sd = false;
19                     break;
20                 }
21                 
22                 num /= 10;
23             }
24             
25             if(sd)
26                 res.add(i);
27         }
28         
29         return res;
30     }
31 }

參考資料：n/a

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LeetCode 728. Self Dividing Numbers