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g0801_0900.s0878_nth_magical_number.readme.md Maven / Gradle / Ivy

878\. Nth Magical Number

Hard

A positive integer is _magical_ if it is divisible by either `a` or `b`.

Given the three integers `n`, `a`, and `b`, return the nth magical number. Since the answer may be very large, **return it modulo** 109 + 7.

**Example 1:**

**Input:** n = 1, a = 2, b = 3

**Output:** 2

**Example 2:**

**Input:** n = 4, a = 2, b = 3

**Output:** 6

**Constraints:**

*   1 <= n <= 109
*   2 <= a, b <= 4 * 104