1201.

Ugly Number III

Medium

Given four integers n, a, b, and c, return the nth ugly number. Ugly numbers are positive integers that are divisible by a, b, or c. 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].