Given an array of n integers where n > 1,
nums
, return an array output
such that output[i]
is equal to the product of all the elements of nums
except nums[i]
.
Solve it without division and in O(n).
For example, given
[1,2,3,4]
, return [24,12,8,6]
.
给出一个数组nums=[a1, a2, a3, a4]。
想在O(n)时间复杂度完成最终的数组输出,res=[a2*a3*a4, a1*a3*a4, a1*a2*a4, a2*a3*a4]。
想在O(n)时间复杂度完成最终的数组输出,res=[a2*a3*a4, a1*a3*a4, a1*a2*a4, a2*a3*a4]。
可以构造两个数组相乘:
- [1, a1, a1*a2, a1*a2*a3]
- [a2*a3*a4, a3*a4, a4, 1]
public class Solution { public int[] productExceptSelf(int[] nums) { int[] res = new int[nums.length]; int [] tem = new int[nums.length]; res[0] = 1; for (int i = 1; i < nums.length; i++) { res[i] = res[i - 1] * nums[i - 1]; } tem[nums.length - 1] = 1; for (int i = nums.length - 2; i >= 0; i--) { tem[i] = tem[i + 1] * nums[i + 1]; } for (int i = 0; i < nums.length; i++) { res[i] = res[i] * tem[i]; } return res; } }
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