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.Analysis:
The easiest but may be not very optimal solution is just divide the test case by 2, 3, and 5. Finally, the ugly number would return a "1".
Code(C++):
class Solution {
public:
bool isUgly(int num) {
if (num<=0){ return false; }
while (num % 2 == 0){ num = num /2; }
while (num % 3 == 0){ num = num /3; }
while (num % 5 == 0){ num = num /5; }
return num ==1;
}
};
Code(Python):
class Solution(object):
def isUgly(self, num):
"""
:type num: int
:rtype: bool
"""
if num<=0:
return False
while num % 2 == 0:
num = num /2
while num % 3 == 0:
num = num /3
while num % 5 == 0:
num = num /5
return num ==1
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