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263. Ugly Number

Description

An ugly number is a positive integer whose prime factors are limited to 2, 3, and 5.

Given an integer n, return true if n is an ugly number.

 

Example 1:

Input: n = 6
Output: true
Explanation: 6 = 2 × 3

Example 2:

Input: n = 1
Output: true
Explanation: 1 has no prime factors, therefore all of its prime factors are limited to 2, 3, and 5.

Example 3:

Input: n = 14
Output: false
Explanation: 14 is not ugly since it includes the prime factor 7.

 

Constraints:

  • -231 <= n <= 231 - 1

Solutions

Keep being devided by these prime numbers, if the remaining number is 1, it is an ugly number.

  • class Solution {
        public boolean isUgly(int n) {
            if (n < 1) return false;
            while (n % 2 == 0) {
                n /= 2;
            }
            while (n % 3 == 0) {
                n /= 3;
            }
            while (n % 5 == 0) {
                n /= 5;
            }
            return n == 1;
        }
    }
    
  • class Solution {
    public:
        bool isUgly(int n) {
            if (n < 1) return false;
            while (n % 2 == 0) {
                n /= 2;
            }
            while (n % 3 == 0) {
                n /= 3;
            }
            while (n % 5 == 0) {
                n /= 5;
            }
            return n == 1;
        }
    };
    
  • class Solution:
        def isUgly(self, n: int) -> bool:
            if n < 1:
                return False
            for x in [2, 3, 5]:
                while n % x == 0:
                    n //= x
            return n == 1
    
    
  • func isUgly(n int) bool {
    	if n < 1 {
    		return false
    	}
    	for _, x := range []int{2, 3, 5} {
    		for n%x == 0 {
    			n /= x
    		}
    	}
    	return n == 1
    }
    
  • /**
     * @param {number} n
     * @return {boolean}
     */
    var isUgly = function (n) {
        if (n < 1) return false;
        while (n % 2 === 0) {
            n /= 2;
        }
        while (n % 3 === 0) {
            n /= 3;
        }
        while (n % 5 === 0) {
            n /= 5;
        }
        return n === 1;
    };
    
    
  • class Solution {
        /**
         * @param Integer $n
         * @return Boolean
         */
        function isUgly($n) {
            while ($n) {
                if ($n % 2 == 0) {
                    $n = $n / 2;
                } elseif ($n % 3 == 0) {
                    $n = $n / 3;
                } elseif ($n % 5 == 0) {
                    $n = $n / 5;
                } else {
                    break;
                }
            }
            return $n == 1;
        }
    }
    

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