[LeetCode]#728. Self Dividing Numbers
2 min readMay 2, 2020
Environment: Python 3.7
Key technique: if not, //, %
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]
Analysis:
- Input numbers are divided by 10 to get remainder.
- If remainder =0 is first filter condition, delete 13, 14, 16.
- If not r is second filter condition, delete 10.
- Get answer.
Solution:
class Solution:
def selfDividingNumbers(self, left, right):ans = []
for n in range(left, right + 1):
if self.isDividing(n):
ans.append(n)
return ans
def isDividing(self, num):
temp = num
while temp:
div = temp % 10
if not div or num % div != 0:
return False
temp //= 10
return True
Submission:
Reference: