{ "data": { "question": { "questionId": "2307", "questionFrontendId": "2197", "categoryTitle": "Algorithms", "boundTopicId": 1308992, "title": "Replace Non-Coprime Numbers in Array", "titleSlug": "replace-non-coprime-numbers-in-array", "content": "
You are given an array of integers nums
. Perform the following steps:
nums
that are non-coprime.Return the final modified array. It can be shown that replacing adjacent non-coprime numbers in any arbitrary order will lead to the same result.
\n\nThe test cases are generated such that the values in the final array are less than or equal to 108
.
Two values x
and y
are non-coprime if GCD(x, y) > 1
where GCD(x, y)
is the Greatest Common Divisor of x
and y
.
\n
Example 1:
\n\n\nInput: nums = [6,4,3,2,7,6,2]\nOutput: [12,7,6]\nExplanation: \n- (6, 4) are non-coprime with LCM(6, 4) = 12. Now, nums = [12,3,2,7,6,2].\n- (12, 3) are non-coprime with LCM(12, 3) = 12. Now, nums = [12,2,7,6,2].\n- (12, 2) are non-coprime with LCM(12, 2) = 12. Now, nums = [12,7,6,2].\n- (6, 2) are non-coprime with LCM(6, 2) = 6. Now, nums = [12,7,6].\nThere are no more adjacent non-coprime numbers in nums.\nThus, the final modified array is [12,7,6].\nNote that there are other ways to obtain the same resultant array.\n\n\n
Example 2:
\n\n\nInput: nums = [2,2,1,1,3,3,3]\nOutput: [2,1,1,3]\nExplanation: \n- (3, 3) are non-coprime with LCM(3, 3) = 3. Now, nums = [2,2,1,1,3,3].\n- (3, 3) are non-coprime with LCM(3, 3) = 3. Now, nums = [2,2,1,1,3].\n- (2, 2) are non-coprime with LCM(2, 2) = 2. Now, nums = [2,1,1,3].\nThere are no more adjacent non-coprime numbers in nums.\nThus, the final modified array is [2,1,1,3].\nNote that there are other ways to obtain the same resultant array.\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 105
1 <= nums[i] <= 105
108
.给你一个整数数组 nums
。请你对数组执行下述操作:
nums
中找出 任意 两个 相邻 的 非互质 数。返回修改后得到的 最终 数组。可以证明的是,以 任意 顺序替换相邻的非互质数都可以得到相同的结果。
\n\n生成的测试用例可以保证最终数组中的值 小于或者等于 108
。
两个数字 x
和 y
满足 非互质数 的条件是:GCD(x, y) > 1
,其中 GCD(x, y)
是 x
和 y
的 最大公约数 。
\n\n
示例 1 :
\n\n\n输入:nums = [6,4,3,2,7,6,2]\n输出:[12,7,6]\n解释:\n- (6, 4) 是一组非互质数,且 LCM(6, 4) = 12 。得到 nums = [12,3,2,7,6,2] 。\n- (12, 3) 是一组非互质数,且 LCM(12, 3) = 12 。得到 nums = [12,2,7,6,2] 。\n- (12, 2) 是一组非互质数,且 LCM(12, 2) = 12 。得到 nums = [12,7,6,2] 。\n- (6, 2) 是一组非互质数,且 LCM(6, 2) = 6 。得到 nums = [12,7,6] 。\n现在,nums 中不存在相邻的非互质数。\n因此,修改后得到的最终数组是 [12,7,6] 。\n注意,存在其他方法可以获得相同的最终数组。\n\n\n
示例 2 :
\n\n\n输入:nums = [2,2,1,1,3,3,3]\n输出:[2,1,1,3]\n解释:\n- (3, 3) 是一组非互质数,且 LCM(3, 3) = 3 。得到 nums = [2,2,1,1,3,3] 。\n- (3, 3) 是一组非互质数,且 LCM(3, 3) = 3 。得到 nums = [2,2,1,1,3] 。\n- (2, 2) 是一组非互质数,且 LCM(2, 2) = 2 。得到 nums = [2,1,1,3] 。\n现在,nums 中不存在相邻的非互质数。 \n因此,修改后得到的最终数组是 [2,1,1,3] 。 \n注意,存在其他方法可以获得相同的最终数组。\n\n\n
\n\n
提示:
\n\n1 <= nums.length <= 105
1 <= nums[i] <= 105
108
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