1201. Ugly Number III

Medium

1.1K

475

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 `n`

^{th}**ugly number**.

**Example 1:**

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

**Example 2:**

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

**Example 3:**

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

**Constraints:**

`1 <= n, a, b, c <= 10`

^{9}`1 <= a * b * c <= 10`

^{18}- It is guaranteed that the result will be in range
`[1, 2 * 10`

.^{9}]

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