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Solution: Super Ugly Number

Explore how to generate the nth super ugly number using a k-way merge technique combined with a min heap. Understand how to dynamically construct the list of super ugly numbers by merging multiples of given prime factors without redundancy. This lesson helps you grasp an efficient algorithm design that optimizes time and space complexity when dealing with sorted data structures.

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:

  • 11 \leq n 105\leq 10^5 ...