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.
思路:首先明确丑数的概念 其素数因子智能在2 3 5 中产生。而其中各因子出现多少回是不加以限制的,因此可以经过while循环来是实现。
class Solution {
public:
bool isUgly(int num) {
if (num < 1)
return false;
if(num == 1 )
return true;
while(num >= 2 && num % 2 == 0) num /= 2;
while(num >= 3 && num % 3 == 0) num /= 3;
while(num >= 5 && num % 5 == 0) num /= 5;
return num == 1;
}
};