K-th Ugly Ninja Problem Statement

Ninja is looking to hire 'ugly ninjas' whose numbers have all prime factors from a given list. Your task is to help him find the K-th ugly ninja.

You will be given an array PRIME_ARR containing prime integers and an integer K.

Example:

Input:
PRIME_ARR = [2, 7, 13, 19], K = 12
Output:
32
Explanation:

First 12 ugly numbers are { 1, 2, 4, 7, 8, 13, 14, 16, 19, 26, 28, 32 } derived using the primes in PRIME_ARR.

Constraints:

  • 1 <= T <= 50
  • 1 <= N <= 100
  • 1 <= K <= 10^3
  • 1 <= PRIME_ARR[i] <= 1000
  • Time Limit: 1sec
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