{ "data": { "question": { "questionId": "3329", "questionFrontendId": "3043", "categoryTitle": "Algorithms", "boundTopicId": 2644027, "title": "Find the Length of the Longest Common Prefix", "titleSlug": "find-the-length-of-the-longest-common-prefix", "content": "

You are given two arrays with positive integers arr1 and arr2.

\n\n

A prefix of a positive integer is an integer formed by one or more of its digits, starting from its leftmost digit. For example, 123 is a prefix of the integer 12345, while 234 is not.

\n\n

A common prefix of two integers a and b is an integer c, such that c is a prefix of both a and b. For example, 5655359 and 56554 have a common prefix 565 while 1223 and 43456 do not have a common prefix.

\n\n

You need to find the length of the longest common prefix between all pairs of integers (x, y) such that x belongs to arr1 and y belongs to arr2.

\n\n

Return the length of the longest common prefix among all pairs. If no common prefix exists among them, return 0.

\n\n

 

\n

Example 1:

\n\n
\nInput: arr1 = [1,10,100], arr2 = [1000]\nOutput: 3\nExplanation: 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
\n\n

Example 2:

\n\n
\nInput: arr1 = [1,2,3], arr2 = [4,4,4]\nOutput: 0\nExplanation: 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
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "最长公共前缀的长度", "translatedContent": "

给你两个 正整数 数组 arr1arr2

\n\n

正整数的 前缀 是其 最左边 的一位或多位数字组成的整数。例如,123 是整数 12345 的前缀,而 234 不是

\n\n

设若整数 c 是整数 ab 公共前缀 ,那么 c 需要同时是 ab 的前缀。例如,565535956554 有公共前缀 565 ,而 122343456 没有 公共前缀。

\n\n

你需要找出属于 arr1 的整数 x 和属于 arr2 的整数 y 组成的所有数对 (x, y) 之中最长的公共前缀的长度。

\n\n

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 0

\n\n

 

\n\n

示例 1:

\n\n
\n输入:arr1 = [1,10,100], arr2 = [1000]\n输出:3\n解释: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
\n\n

示例 2:

\n\n
\n输入:arr1 = [1,2,3], arr2 = [4,4,4]\n输出:0\n解释: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
\n\n

 

\n\n

提示:

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