728. Self Dividing Numbers

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 == 0128 % 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.


  • Python 3 code (Your runtime beats 87.86 % of python3 submissions.) :

    class Solution:
        def selfDividingNumbers(self, left, right):
            """
            :type left: int
            :type right: int
            :rtype: List[int]
            """
            A = []
            for i in range (left, right+1):
                if '0' in str(i):
                    continue
                num = i 
                while num > 0:
                    yushu = num % 10
                    if i % yushu != 0:
                        break
                    num = num // 10
                if not num :
                    A.append(i)
            return A


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