mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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187 lines
17 KiB
JSON
187 lines
17 KiB
JSON
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"title": "Distinct Prime Factors of Product of Array",
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"content": "<p>Given an array of positive integers <code>nums</code>, return <em>the number of <strong>distinct prime factors</strong> in the product of the elements of</em> <code>nums</code>.</p>\n\n<p><strong>Note</strong> that:</p>\n\n<ul>\n\t<li>A number greater than <code>1</code> is called <strong>prime</strong> if it is divisible by only <code>1</code> and itself.</li>\n\t<li>An integer <code>val1</code> is a factor of another integer <code>val2</code> if <code>val2 / val1</code> is an integer.</li>\n</ul>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,4,3,7,10,6]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong>\nThe product of all the elements in nums is: 2 * 4 * 3 * 7 * 10 * 6 = 10080 = 2<sup>5</sup> * 3<sup>2</sup> * 5 * 7.\nThere are 4 distinct prime factors so we return 4.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,4,8,16]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong>\nThe product of all the elements in nums is: 2 * 4 * 8 * 16 = 1024 = 2<sup>10</sup>.\nThere is 1 distinct prime factor so we return 1.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>4</sup></code></li>\n\t<li><code>2 <= nums[i] <= 1000</code></li>\n</ul>\n",
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"categoryTitle": "Algorithms",
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"code": "# @param {Integer[]} nums\n# @return {Integer}\ndef distinct_prime_factors(nums)\n \nend",
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"Do not multiply all the numbers together, as the product is too big to store.",
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"Think about how each individual number's prime factors contribute to the prime factors of the product of the entire array.",
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"Find the prime factors of each element in nums, and store all of them in a set to avoid duplicates."
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