Self Dividing Numbers
Problem Statement
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
.
A self-dividing number is not allowed to contain the digit zero.
Given two integers left
and right
, return a list of all the self-dividing numbers in the range [left, right]
.
Example 1:
Input: left = 1, right = 22
Output: [1,2,3,4,5,6,7,8,9,11,12,15,22]
Example 2:
Input: left = 47, right = 85
Output: [48,55,66,77]
Constraints:
1 <= left <= right <= 104
Code
Python Code
def selfDividingNumbers(self, left: int, right: int) -> List[int]:
return [
i for i in range(left, right + 1)
if self.isDiv(i)
]
def isDiv(self, i):
num = i
while i:
rem = i%10
if not rem: return False
if num%rem != 0: return False
i = i // 10
return True
Java Code
class Solution {
public List<Integer> selfDividingNumbers(int left, int right) {
List<Integer>res=new ArrayList();
for(int i=left;i<=right;i++)
{
if(isDivide(i))
res.add(i);
}
return res;
}
public boolean isDivide(int num)
{
int n=num;
while(n>0)
{
int rem=n%10;
if(rem==0 ||(num%rem)!=0)
return false;
n=n/10;
}
return true;
}
}