leetcode-problemset/leetcode-cn/originData/find-the-length-of-the-longest-common-prefix.json

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            "categoryTitle": "Algorithms",
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            "title": "Find the Length of the Longest Common Prefix",
            "titleSlug": "find-the-length-of-the-longest-common-prefix",
            "content": "<p>You are given two arrays with <strong>positive</strong> integers <code>arr1</code> and <code>arr2</code>.</p>\n\n<p>A <strong>prefix</strong> of a positive integer is an integer formed by one or more of its digits, starting from its <strong>leftmost</strong> digit. For example, <code>123</code> is a prefix of the integer <code>12345</code>, while <code>234</code> is <strong>not</strong>.</p>\n\n<p>A <strong>common prefix</strong> of two integers <code>a</code> and <code>b</code> is an integer <code>c</code>, such that <code>c</code> is a prefix of both <code>a</code> and <code>b</code>. For example, <code>5655359</code> and <code>56554</code> have a common prefix <code>565</code> while <code>1223</code> and <code>43456</code> <strong>do not</strong> have a common prefix.</p>\n\n<p>You need to find the length of the <strong>longest common prefix</strong> between all pairs of integers <code>(x, y)</code> such that <code>x</code> belongs to <code>arr1</code> and <code>y</code> belongs to <code>arr2</code>.</p>\n\n<p>Return <em>the length of the <strong>longest</strong> common prefix among all pairs</em>.<em> If no common prefix exists among them</em>, <em>return</em> <code>0</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr1 = [1,10,100], arr2 = [1000]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> There are 3 pairs (arr1[i], arr2[j]):\n- The longest common prefix of (1, 1000) is 1.\n- The longest common prefix of (10, 1000) is 10.\n- The longest common prefix of (100, 1000) is 100.\nThe longest common prefix is 100 with a length of 3.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr1 = [1,2,3], arr2 = [4,4,4]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There exists no common prefix for any pair (arr1[i], arr2[j]), hence we return 0.\nNote that common prefixes between elements of the same array do not count.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= arr1.length, arr2.length &lt;= 5 * 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= arr1[i], arr2[i] &lt;= 10<sup>8</sup></code></li>\n</ul>\n",
            "translatedTitle": "最长公共前缀的长度",
            "translatedContent": "<p>给你两个 <strong>正整数 </strong>数组 <code>arr1</code> 和 <code>arr2</code> 。</p>\n\n<p>正整数的 <strong>前缀 </strong>是其 <strong>最左边 </strong>的一位或多位数字组成的整数。例如，<code>123</code> 是整数 <code>12345</code> 的前缀，而 <code>234</code><strong> 不是 </strong>。</p>\n\n<p>设若整数 <code>c</code> 是整数 <code>a</code> 和 <code>b</code> 的<strong> 公共前缀 </strong>，那么 <code>c</code> 需要同时是 <code>a</code> 和 <code>b</code> 的前缀。例如，<code>5655359</code> 和 <code>56554</code> 有公共前缀 <code>565</code> ，而 <code>1223</code> 和 <code>43456</code><strong> 没有 </strong>公共前缀。</p>\n\n<p>你需要找出属于 <code>arr1</code> 的整数 <code>x</code> 和属于 <code>arr2</code> 的整数 <code>y</code> 组成的所有数对 <code>(x, y)</code> 之中最长的公共前缀的长度。</p>\n\n<p>返回所有数对之中最长公共前缀的长度。如果它们之间不存在公共前缀，则返回 <code>0</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>arr1 = [1,10,100], arr2 = [1000]\n<strong>输出：</strong>3\n<strong>解释：</strong>存在 3 个数对 (arr1[i], arr2[j]) ：\n- (1, 1000) 的最长公共前缀是 1 。\n- (10, 1000) 的最长公共前缀是 10 。\n- (100, 1000) 的最长公共前缀是 100 。\n最长的公共前缀是 100 ，长度为 3 。\n</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>arr1 = [1,2,3], arr2 = [4,4,4]\n<strong>输出：</strong>0\n<strong>解释：</strong>任何数对 (arr1[i], arr2[j]) 之中都不存在公共前缀，因此返回 0 。\n请注意，同一个数组内元素之间的公共前缀不在考虑范围内。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= arr1.length, arr2.length &lt;= 5 * 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= arr1[i], arr2[i] &lt;= 10<sup>8</sup></code></li>\n</ul>\n",
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