How to Solve Ugly Number I I I Problem
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Ugly Number III
An ugly number is a positive integer that is divisible by a, b, or c. Given four integers n, a, b, and c, return the nth ugly number.
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Understanding the Ugly Number I I I Problem
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Problem Statement
An ugly number is a positive integer that is divisible by a, b, or c. Given four integers n, a, b, and c, return the nth ugly number.
Ugly Number III
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Examples
n = 3, a = 2, b = 3, c = 5
4
The ugly numbers are 2, 3, 4, 5, 6, 8, 9, 10... The 3rd is 4.
n = 4, a = 2, b = 3, c = 4
6
The ugly numbers are 2, 3, 4, 6, 8, 9, 10, 12... The 4th is 6.
n = 5, a = 2, b = 11, c = 13
10
The ugly numbers are 2, 4, 6, 8, 10, 11, 12, 13... The 5th is 10.
Constraints
1 <= n, a, b, c <= 109
1 <= a * b * c <= 1018
It is guaranteed that the result will be in range [1, 2 * 109].
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