题目描述:
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 1
is typically treated as an ugly number.
解题思路:
根据丑数的定义,可以通过如下方法判断一个数字n是否为丑数:可以试着用2、3、5不断整除n,当n不能再被2、3、5整除时,判断n是否等于1,等于1则指定的数字是丑数(返回真),否则不是(返回假)。
代码如下:
public class Solution {
public boolean isUgly(int num) {
if(num <= 0)
return false;
while(num % 2 == 0)
num /= 2;
while(num % 3 == 0)
num /= 3;
while(num % 5 == 0)
num /= 5;
return num == 1;
}
}