Longest Common Prime Subsequence Problem Statement

Imagine Ninja is tackling a puzzle during his long summer vacation. He has two arrays of integers, each with lengths 'N' and 'M'. Ninja's task is to determine the length of the longest subsequence that is common to both arrays and consists only of prime numbers.

Example:

Input:
T = 1
N = 4, M = 5
arr1 = [2, 3, 4, 5]
arr2 = [3, 5, 7, 11, 13]
Output:
2
Explanation:

The prime numbers that are common to both arrays are 3 and 5. Hence, the length of the longest common prime subsequence is 2.

Constraints:

  • 1 <= T <= 5
  • 1 <= N, M <= 5 * 102
  • 1 <= arr1[i], arr2[i] <= 300
  • Time Limit: 1 sec.

Note:

  • A subsequence is a sequence that can be derived from another sequence by zero or more elements, without changing the order of the remaining elements.
  • You don't need to print anything, the printing has already been taken care of. Just implement the given function.
AnswerBot
4mo

Find the length of the longest subsequence common to two arrays consisting only of prime numbers.

  • Iterate through both arrays to find prime numbers

  • Use dynamic programming to find the longest common sub...read more

Help your peers!
Select
Add answer anonymously...

Cadence Design Systems Software Developer interview questions & answers

A Software Developer was asked 6mo agoQ. Given an array, reverse the order of its elements in place.
A Software Developer was asked Q. Given the coordinates of a point and a rectangle, how would you determine if the...read more
A Software Developer was asked Q. You are given an array of elements. Some or all of them are duplicates. Find the...read more

Popular interview questions of Software Developer

A Software Developer was asked 6mo agoQ1. Given an array, reverse the order of its elements in place.
A Software Developer was asked Q2. Given the coordinates of a point and a rectangle, how would you determine if the...read more
A Software Developer was asked Q3. You are given an array of elements. Some or all of them are duplicates. Find the...read more
Cadence Design Systems Software Developer Interview Questions
Stay ahead in your career. Get AmbitionBox app
play-icon
play-icon
qr-code
Trusted by over 1.5 Crore job seekers to find their right fit company
80 L+

Reviews

10L+

Interviews

4 Cr+

Salaries

1.5 Cr+

Users

Contribute to help millions

Made with ❤️ in India. Trademarks belong to their respective owners. All rights reserved © 2025 Info Edge (India) Ltd.

Follow Us
  • Youtube
  • Instagram
  • LinkedIn
  • Facebook
  • Twitter
Profile Image
Hello, Guest
AmbitionBox Employee Choice Awards 2025
Winners announced!
awards-icon
Contribute to help millions!
Write a review
Write a review
Share interview
Share interview
Contribute salary
Contribute salary
Add office photos
Add office photos
Add office benefits
Add office benefits