leetcode 728. Self Dividing Numbers ( Python )

描述

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]
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Note:

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

根據題意，直接暴力破解，能夠看出這個題就是遍歷一個包含非 0 的數字中的每一個數字，若是都能整除就能夠保留，提早判斷條件，不符合就直接跳過，這樣能節省很多時間。時間複雜度最少爲 O(N)，一般時間複雜度爲 O(NlogM)，空間複雜度爲 O(N)。

解答

class Solution(object):
def selfDividingNumbers(self, left, right):
    """
    :type left: int
    :type right: int
    :rtype: List[int]
    """
    result= []
    for i in range(left,right+1):
        count = 0
        for s in str(i):
            if s=='0' or i%int(s)!=0:
                break
            else:
                count+=1
                continue
        if count == len(str(i)):
            result.append(i)
    return result        	      
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運行結果

Runtime: 40 ms, faster than 76.40% of Python online submissions for Self Dividing Numbers.
Memory Usage: 11.9 MB, less than 56.13% of Python online submissions for Self Dividing Numbers.
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