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.
public class Solution {
public IList<int> SelfDividingNumbers(int left, int right) {
var result = new List<int>();
for(int i=left;i<=right;i++){
if(i<10){
result.Add(i);
}
else if(IsValid(i)){
result.Add(i);
}
}
return result;
}
private bool IsValid(int num){
int temp = num;
while(temp>0){
int mod = temp%10;
if(mod==0 || num%mod!=0){
return false;
}
temp=temp/10;
}
return true;
}
}Time Complexity: O(n)
Space Complexity: O(1)
