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g0301_0400.s0313_super_ugly_number.readme.md Maven / Gradle / Ivy

313\. Super Ugly Number

Medium

A **super ugly number** is a positive integer whose prime factors are in the array `primes`.

Given an integer `n` and an array of integers `primes`, return _the_ nth _**super ugly number**_.

The nth **super ugly number** is **guaranteed** to fit in a **32-bit** signed integer.

**Example 1:**

**Input:** n = 12, primes = [2,7,13,19]

**Output:** 32

**Explanation:** [1,2,4,7,8,13,14,16,19,26,28,32] is the sequence of the first 12 super ugly numbers given primes = [2,7,13,19]. 

**Example 2:**

**Input:** n = 1, primes = [2,3,5]

**Output:** 1

**Explanation:** 1 has no prime factors, therefore all of its prime factors are in the array primes = [2,3,5]. 

**Constraints:**

*   1 <= n <= 106
*   `1 <= primes.length <= 100`
*   `2 <= primes[i] <= 1000`
*   `primes[i]` is **guaranteed** to be a prime number.
*   All the values of `primes` are **unique** and sorted in **ascending order**.