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g1201_1300.s1201_ugly_number_iii.readme.md Maven / Gradle / Ivy

1201\. Ugly Number III

Medium

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.

**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].