leetcode-problemset/leetcode-cn/originData/maximum-subarray-with-equal-products.json

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            "title": "Maximum Subarray With Equal Products",
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            "content": "<p>You are given an array of <strong>positive</strong> integers <code>nums</code>.</p>\n\n<p>An array <code>arr</code> is called <strong>product equivalent</strong> if <code>prod(arr) == lcm(arr) * gcd(arr)</code>, where:</p>\n\n<ul>\n\t<li><code>prod(arr)</code> is the product of all elements of <code>arr</code>.</li>\n\t<li><code>gcd(arr)</code> is the <span data-keyword=\"gcd-function\">GCD</span> of all elements of <code>arr</code>.</li>\n\t<li><code>lcm(arr)</code> is the <span data-keyword=\"lcm-function\">LCM</span> of all elements of <code>arr</code>.</li>\n</ul>\n\n<p>Return the length of the <strong>longest</strong> <strong>product equivalent</strong> <span data-keyword=\"subarray-nonempty\">subarray</span> of <code>nums</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [1,2,1,2,1,1,1]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">5</span></p>\n\n<p><strong>Explanation:</strong>&nbsp;</p>\n\n<p>The longest product equivalent subarray is <code>[1, 2, 1, 1, 1]</code>, where&nbsp;<code>prod([1, 2, 1, 1, 1]) = 2</code>,&nbsp;<code>gcd([1, 2, 1, 1, 1]) = 1</code>, and&nbsp;<code>lcm([1, 2, 1, 1, 1]) = 2</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [2,3,4,5,6]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>Explanation:</strong>&nbsp;</p>\n\n<p>The longest product equivalent subarray is <code>[3, 4, 5].</code></p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [1,2,3,1,4,5,1]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">5</span></p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10</code></li>\n</ul>\n",
            "translatedTitle": "最长乘积等价子数组",
            "translatedContent": "<p>给你一个由&nbsp;<strong>正整数&nbsp;</strong>组成的数组 <code>nums</code>。</p>\n\n<p>如果一个数组 <code>arr</code> 满足 <code>prod(arr) == lcm(arr) * gcd(arr)</code>，则称其为&nbsp;<strong>乘积等价数组&nbsp;</strong>，其中：</p>\n\n<ul>\n\t<li><code>prod(arr)</code> 表示 <code>arr</code> 中所有元素的乘积。</li>\n\t<li><code>gcd(arr)</code> 表示 <code>arr</code> 中所有元素的最大公因数 (<span data-keyword=\"gcd-function\">GCD</span>)。</li>\n\t<li><code>lcm(arr)</code> 表示 <code>arr</code> 中所有元素的最小公倍数 (<span data-keyword=\"lcm-function\">LCM</span>)。</li>\n</ul>\n\n<p>返回数组 <code>nums</code> 的&nbsp;<strong>最长</strong> <strong>乘积等价 <span data-keyword=\"subarray-nonempty\">子数组</span>&nbsp;</strong>的长度。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">nums = [1,2,1,2,1,1,1]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">5</span></p>\n\n<p><strong>解释：</strong>&nbsp;</p>\n\n<p>最长的乘积等价子数组是 <code>[1, 2, 1, 1, 1]</code>，其中&nbsp;<code>prod([1, 2, 1, 1, 1]) = 2</code>，&nbsp;<code>gcd([1, 2, 1, 1, 1]) = 1</code>，以及&nbsp;<code>lcm([1, 2, 1, 1, 1]) = 2</code>。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">nums = [2,3,4,5,6]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>解释：</strong>&nbsp;</p>\n\n<p>最长的乘积等价子数组是 <code>[3, 4, 5]</code>。</p>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">nums = [1,2,3,1,4,5,1]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">5</span></p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10</code></li>\n</ul>\n",
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