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
. For example, 6, 8
are ugly while 14
is not ugly since it includes another prime factor 7
.
Note that
Understand the problem:1
is typically treated as an ugly number.
This problem can be solved by using greedy algorithm. First check if it could be divided by 2s, if not then 3s, and then 5s. Finally check if the number is 1. If yes, return true else return false.
Code (Java):
public class Solution { public boolean isUgly(int num) { if (num <= 0) { return false; } while (num > 1 && num % 2 == 0) { num /= 2; } while (num > 1 && num % 3 == 0) { num /= 3; } while (num > 1 && num % 5 == 0) { num /= 5; } if (num == 1) { return true; } else { return false; } } }
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