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;
}
};