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Solution: Super Ugly Number

Understand how to compute the nth super ugly number by applying a k-way merge strategy combined with a min heap. This lesson walks you through dynamically generating super ugly numbers using prime factors, efficiently avoiding duplicates, and managing computational complexity. Learn the detailed algorithm and its time and space complexity analysis to improve your problem-solving skills for coding interviews.

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 ...