1201. Ugly Number III

https://leetcode.com/problems/ugly-number-iii

Description

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.

Example 1:

**Input:** n = 3, a = 2, b = 3, c = 5
**Output:** 4
**Explanation:** The ugly numbers are 2, 3, 4, 5, 6, 8, 9, 10... The 3rd is 4.

Example 2:

**Input:** n = 4, a = 2, b = 3, c = 4
**Output:** 6
**Explanation:** The ugly numbers are 2, 3, 4, 6, 8, 9, 10, 12... The 4th is 6.

Example 3:

**Input:** n = 5, a = 2, b = 11, c = 13
**Output:** 10
**Explanation:** The ugly numbers are 2, 4, 6, 8, 10, 11, 12, 13... The 5th is 10.

Example 4:

**Input:** n = 1000000000, a = 2, b = 217983653, c = 336916467
**Output:** 1999999984

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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