description:
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.
题目要求判断给定的数是否“丑数”,符合条件的丑数只能被2或3或5整除。根据题意,将给出的数用这三个数一一整除以后看结果是否为1,是1即符合题意。
代码如下:
class Solution {
public:
bool isUgly(int num) {
if(num<=0)return 0;
while(num%2==0)
{
num=num/2;
}
while(num%3==0)
{
num=num/3;
}
while(num%5==0)
{
num=num/5;
}
if(num==1)return 1;
else return 0;
}
};
本文介绍了一种使用C++编程语言判断一个给定正整数是否为丑数的方法。丑数定义为其质因数仅包含2、3、5的正整数。通过连续除以2、3、5来简化数值,最终判断简化后的数是否为1。
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