題目:
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.
解答:
如果某個數是丑數,那麼它一定可以不斷被 2 或者 3 或者 5 整除,然後除以之後的結果依然滿足丑數的條件。
不斷循環,直到這個數不再變化。此時如果是 1 則是丑數,否則不是。
class Solution { public: bool isUgly(int num) { if(num == 1 || num == 2 || num == 3 || num == 5) return true; int tmp = 0; while(tmp != num) { tmp = num; if(num % 2 == 0) num = num / 2; if(num % 3 == 0) num = num / 3; if(num % 5 == 0) num = num / 5; } if(tmp == 1) return true; else return false; } };