Problem
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.
Example
Given num = 8 return true
Given num = 14 return false
Note
当num非0,用num除以2,3,5直到不能整除,最后余数为1就是ugly num。
Solution
1. Iteration
public class Solution {
public boolean isUgly(int num) {
int[] divs = {2, 3, 5};
for (int div: divs) {
while (num!= 0 && num % div == 0) {
num /= div;
}
}
return num == 1;
}
}
2. Recursion
public class Solution {
public boolean isUgly(int num) {
if (num == 0) return false;
if (num == 1) return true;
if (num % 2 == 0) return isUgly(num/2);
if (num % 3 == 0) return isUgly(num/3);
if (num % 5 == 0) return isUgly(num/5);
else return false;
}
}
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