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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"questionFrontendId": "2521",
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"boundTopicId": null,
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"title": "Distinct Prime Factors of Product of Array",
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"titleSlug": "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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"difficulty": "Medium",
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"exampleTestcases": "[2,4,3,7,10,6]\n[2,4,8,16]",
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"categoryTitle": "Algorithms",
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"code": "class Solution {\npublic:\n int distinctPrimeFactors(vector<int>& nums) {\n \n }\n};",
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"code": "class Solution(object):\n def distinctPrimeFactors(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n ",
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"lang": "C#",
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"langSlug": "csharp",
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"code": "public class Solution {\n public int DistinctPrimeFactors(int[] nums) {\n \n }\n}",
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"lang": "JavaScript",
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"code": "/**\n * @param {number[]} nums\n * @return {number}\n */\nvar distinctPrimeFactors = function(nums) {\n \n};",
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"lang": "Ruby",
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"langSlug": "ruby",
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"code": "# @param {Integer[]} nums\n# @return {Integer}\ndef distinct_prime_factors(nums)\n \nend",
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"lang": "Swift",
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"langSlug": "swift",
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"code": "class Solution {\n func distinctPrimeFactors(_ nums: [Int]) -> Int {\n \n }\n}",
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"lang": "Go",
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"langSlug": "golang",
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"code": "func distinctPrimeFactors(nums []int) int {\n \n}",
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"lang": "Scala",
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"langSlug": "scala",
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"code": "object Solution {\n def distinctPrimeFactors(nums: Array[Int]): Int = {\n \n }\n}",
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"lang": "Kotlin",
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"code": "class Solution {\n fun distinctPrimeFactors(nums: IntArray): Int {\n \n }\n}",
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"lang": "Rust",
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"langSlug": "rust",
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"code": "impl Solution {\n pub fn distinct_prime_factors(nums: Vec<i32>) -> i32 {\n \n }\n}",
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"code": "class Solution {\n\n /**\n * @param Integer[] $nums\n * @return Integer\n */\n function distinctPrimeFactors($nums) {\n \n }\n}",
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"lang": "TypeScript",
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"langSlug": "typescript",
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"code": "defmodule Solution do\n @spec distinct_prime_factors(nums :: [integer]) :: integer\n def distinct_prime_factors(nums) do\n\n end\nend",
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"hints": [
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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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"envInfo": "{\"cpp\": [\"C++\", \"<p>Compiled with <code> clang 11 </code> using the latest C++ 17 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level two optimization (<code>-O2</code>). <a href=\\\"https://github.com/google/sanitizers/wiki/AddressSanitizer\\\" target=\\\"_blank\\\">AddressSanitizer</a> is also enabled to help detect out-of-bounds and use-after-free bugs.</p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\"], \"java\": [\"Java\", \"<p><code>OpenJDK 17</code>. Java 8 features such as lambda expressions and stream API can be used. </p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n<p>Includes <code>Pair</code> class from https://docs.oracle.com/javase/8/javafx/api/javafx/util/Pair.html.</p>\"], \"python\": [\"Python\", \"<p><code>Python 2.7.12</code>.</p>\\r\\n\\r\\n<p>Most libraries are already imported automatically for your convenience, such as <a href=\\\"https://docs.python.org/2/library/array.html\\\" target=\\\"_blank\\\">array</a>, <a href=\\\"https://docs.python.org/2/library/bisect.html\\\" target=\\\"_blank\\\">bisect</a>, <a href=\\\"https://docs.python.org/2/library/collections.html\\\" target=\\\"_blank\\\">collections</a>. If you need more libraries, you can import it yourself.</p>\\r\\n\\r\\n<p>For Map/TreeMap data structure, you may use <a href=\\\"http://www.grantjenks.com/docs/sortedcontainers/\\\" target=\\\"_blank\\\">sortedcontainers</a> library.</p>\\r\\n\\r\\n<p>Note that Python 2.7 <a href=\\\"https://www.python.org/dev/peps/pep-0373/\\\" target=\\\"_blank\\\">will not be maintained past 2020</a>. For the latest Python, please choose Python3 instead.</p>\"], \"c\": [\"C\", \"<p>Compiled with <code>gcc 8.2</code> using the gnu11 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level one optimization (<code>-O1</code>). <a href=\\\"https://github.com/google/sanitizers/wiki/AddressSanitizer\\\" target=\\\"_blank\\\">AddressSanitizer</a> is also enabled to help detect out-of-bounds and use-after-free bugs.</p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n\\r\\n<p>For hash table operations, you may use <a href=\\\"https://troydhanson.github.io/uthash/\\\" target=\\\"_blank\\\">uthash</a>. \\\"uthash.h\\\" is included by default. Below are some examples:</p>\\r\\n\\r\\n<p><b>1. Adding an item to a hash.</b>\\r\\n<pre>\\r\\nstruct hash_entry {\\r\\n int id; /* we'll use this field as the key */\\r\\n char name[10];\\r\\n UT_hash_handle hh; /* makes this structure hashable */\\r\\n};\\r\\n\\r\\nstruct hash_entry *users = NULL;\\r\\n\\r\\nvoid add_user(struct hash_entry *s) {\\r\\n HASH_ADD_INT(users, id, s);\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>2. Looking up an item in a hash:</b>\\r\\n<pre>\\r\\nstruct hash_entry *find_user(int user_id) {\\r\\n struct hash_entry *s;\\r\\n HASH_FIND_INT(users, &user_id, s);\\r\\n return s;\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>3. Deleting an item in a hash:</b>\\r\\n<pre>\\r\\nvoid delete_user(struct hash_entry *user) {\\r\\n HASH_DEL(users, user); \\r\\n}\\r\\n</pre>\\r\\n</p>\"], \"csharp\": [\"C#\", \"<p><a href=\\\"https://learn.microsoft.com/en-us/dotnet/csharp/whats-new/csharp-10\\\" target=\\\"_blank\\\">C# 10 with .NET 6 runtime</a></p>\"], \"javascript\": [\"JavaScript\", \"<p><code>Node.js 16.13.2</code>.</p>\\r\\n\\r\\n<p>Your code is run with <code>--harmony</code> flag, enabling <a href=\\\"http://node.green/\\\" target=\\\"_blank\\\">new ES6 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\\r\\n\\r\\n<p>For Priority Queue / Queue data structures, you may use 5.3.0 version of <a href=\\\"https://github.com/datastructures-js/priority-queue/tree/fb4fdb984834421279aeb081df7af624d17c2a03\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and 4.2.1 version of <a href=\\\"https://githu
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