Description
https://leetcode.com/problems/self-dividing-numbers/
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
.
Explanation
Iterate numbers and count numbers which can be self divided by its digits.
Python Solution
class Solution:
def selfDividingNumbers(self, left: int, right: int) -> List[int]:
results = []
while left <= right:
is_self_divide = True
for c in str(left):
if int(c) == 0 or int(left) % int(c) != 0:
is_self_divide = False
if is_self_divide:
results.append(int(left))
left += 1
return results
- Time Complexity: O(N)
- Space Complexity: O(N)