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
.
Input: 6 Output: true Explanation: 6 = 2 × 3
Input: 8 Output: true Explanation: 8 = 2 × 2 × 2
Input: 14 Output: false Explanation: 14 is not ugly since it includes another prime factor 7.
1
is typically treated as an ugly number.- Input is within the 32-bit signed integer range: [−231, 231 − 1].
# @param {Integer} num
# @return {Boolean}
def is_ugly(num)
if num == 0
return false
elsif num == 1
return true
elsif num % 2 == 0
return is_ugly(num / 2)
elsif num % 3 == 0
return is_ugly(num / 3)
elsif num % 5 == 0
return is_ugly(num / 5)
else
return false
end
end
impl Solution {
pub fn is_ugly(num: i32) -> bool {
if num == 0 {
false
} else if num == 1 {
true
} else if num % 2 == 0 {
Self::is_ugly(num / 2)
} else if num % 3 == 0 {
Self::is_ugly(num / 3)
} else if num % 5 == 0 {
Self::is_ugly(num / 5)
} else {
false
}
}
}