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Solution: Super Ugly Number

Explore how to solve the super ugly number problem by using a k-way merge algorithm combined with a min heap. Understand how to generate numbers with given prime factors efficiently and avoid duplicates. This lesson helps you master an approach that balances time and space complexity, with clear code and algorithmic steps.

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Statement

Given an integer n and an array of distinct prime numbers primes, return the n-th super ugly number. A super ugly number is a positive integer whose only prime factors are from a given array primes.

The n-th super ugly number is guaranteed to fit within a 32-bit signed integer.

Constraints:

  • 1≤1 \leq n ≤105\leq 10^5

  • 1≤1 \leq primes.length ...