Write a program to check whether a given number is an ugly number.
Ugly numbers are positive numbers whose prime factors only include 2, 3, 5.
Example 1:
Input: 6
Output: true
Explanation: 6 = 2 × 3
Example 2:
Input: 8
Output: true
Explanation: 8 = 2 × 2 × 2
Example 3:
Input: 14
Output: false
Explanation: 14 is not ugly since it includes another prime factor 7.
Note:
1is typically treated as an ugly number.- Input is within the 32-bit signed integer range: [−231, 231 − 1].
class Solution {
public boolean isUgly(int num) {
if(num < 1)
return false;
while(num % 5 == 0)
num /= 5;
while(num % 3 == 0)
num /= 3;
while(num % 2 == 0)
num /= 2;
return num == 1;
}
}class Solution:
def isUgly(self, n: int) -> bool:
if n == 0: return False
if n == 1: return True
if n % 2 == 0:
return self.isUgly(n // 2)
if n % 3 == 0:
return self.isUgly(n // 3)
if n % 5 == 0:
return self.isUgly(n // 5)
return False