[LeetCode 263] Ugly Number
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.
DiffcultyEasy
Similar Problems
[LeetCode 136] Happy Number Easy
[LeetCode 137] Count Primes Easy
[LeetCode 137] Ugly Number II Medium
Analysis
这题简单。既然已经说了ugly number是{2,3,5}的组合乘积构成的, 那么判断逻辑也就简单了,对于任意一个给定的数字,拼命除这三个因子, 最后能整除的就是ugly number,否则就不是。
class Solution { public: bool 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; } };