How to Solve Distinct Prime Factors of Product of Array Leetcode Problem - Interview Coder Guide
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How to Solve Distinct Prime Factors of Product of Array Problem

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Medium#2609
LeetCode Problem

Distinct Prime Factors of Product of Array

Given an array of positive integers nums, return the number of distinct prime factors in the product of the elements of nums. Note that: A number greater than 1 is called prime if it is divisible by o...

ArrayHash TableMath+1 more

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Problem Breakdown

Understanding the Distinct Prime Factors of Product of Array Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

Given an array of positive integers nums, return the number of distinct prime factors in the product of the elements of nums. Note that: A number greater than 1 is called prime if it is divisible by only 1 and itself. An integer val1 is a factor of another integer val2 if val2 / val1 is an integer.

MediumProblem #2609
LeetCode

Distinct Prime Factors of Product of Array

Related Topics
ArrayHash TableMathNumber Theory
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Examples

Example 1
INPUT
nums = [2,4,3,7,10,6]
OUTPUT
4
EXPLANATION

The product of all the elements in nums is: 2 * 4 * 3 * 7 * 10 * 6 = 10080 = 25 * 32 * 5 * 7. There are 4 distinct prime factors so we return 4.

Example 2
INPUT
nums = [2,4,8,16]
OUTPUT
1
EXPLANATION

The product of all the elements in nums is: 2 * 4 * 8 * 16 = 1024 = 210. There is 1 distinct prime factor so we return 1.

Constraints

1 <= nums.length <= 104
2 <= nums[i] <= 1000

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