leetcode-problemset/leetcode-cn/originData/find-the-maximum-factor-score-of-array.json

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            "title": "Find the Maximum Factor Score of Array",
            "titleSlug": "find-the-maximum-factor-score-of-array",
            "content": "<p>You are given an integer array <code>nums</code>.</p>\n\n<p>The <strong>factor score</strong> of an array is defined as the <em>product</em> of the LCM and GCD of all elements of that array.</p>\n\n<p>Return the <strong>maximum factor score</strong> of <code>nums</code> after removing <strong>at most</strong> one element from it.</p>\n\n<p><strong>Note</strong> that <em>both</em> the <span data-keyword=\"lcm-function\">LCM</span> and <span data-keyword=\"gcd-function\">GCD</span> of a single number are the number itself, and the <em>factor score</em> of an <strong>empty</strong> array is 0.</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 = [2,4,8,16]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">64</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>On removing 2, the GCD of the rest of the elements is 4 while the LCM is 16, which gives a maximum factor score of <code>4 * 16 = 64</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 = [1,2,3,4,5]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">60</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The maximum factor score of 60 can be obtained without removing any elements.</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 = [3]</span></p>\n\n<p><strong>Output:</strong> 9</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 30</code></li>\n</ul>\n",
            "translatedTitle": "数组的最大因子得分",
            "translatedContent": "<p>给你一个整数数组 <code>nums</code>。</p>\n\n<p><strong>因子得分 </strong>定义为数组所有元素的最小公倍数（LCM）与最大公约数（GCD）的<strong> 乘积</strong>。</p>\n\n<p>在 <strong>最多</strong> 移除一个元素的情况下，返回 <code>nums</code> 的<strong> 最大因子得分</strong>。</p>\n\n<p><strong>注意</strong>，单个数字的 <span data-keyword=\"lcm-function\">LCM</span> 和 <span data-keyword=\"gcd-function\">GCD</span> 都是其本身，而<strong> </strong><strong>空数组</strong> 的因子得分为 0。</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 = [2,4,8,16]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">64</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>移除数字 2 后，剩余元素的 GCD 为 4，LCM 为 16，因此最大因子得分为 <code>4 * 16 = 64</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 = [1,2,3,4,5]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">60</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>无需移除任何元素即可获得最大因子得分 60。</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 = [3]</span></p>\n\n<p><strong>输出：</strong> 9</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 30</code></li>\n</ul>\n",
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