{ "data": { "question": { "questionId": "2609", "questionFrontendId": "2521", "boundTopicId": null, "title": "Distinct Prime Factors of Product of Array", "titleSlug": "distinct-prime-factors-of-product-of-array", "content": "

Given an array of positive integers nums, return the number of distinct prime factors in the product of the elements of nums.

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Note that:

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Example 1:

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\nInput: nums = [2,4,3,7,10,6]\nOutput: 4\nExplanation:\nThe product of all the elements in nums is: 2 * 4 * 3 * 7 * 10 * 6 = 10080 = 25 * 32 * 5 * 7.\nThere are 4 distinct prime factors so we return 4.\n
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Example 2:

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\nInput: nums = [2,4,8,16]\nOutput: 1\nExplanation:\nThe product of all the elements in nums is: 2 * 4 * 8 * 16 = 1024 = 210.\nThere is 1 distinct prime factor so we return 1.\n
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Constraints:

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