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Leetcode 位运算 Single Number

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Single Number

 Total Accepted: 20063 Total Submissions: 44658

Given an array of integers, every element appears twice except for one. Find that single one.

Note:
Your algorithm should have a linear runtime complexity. Could you implement it without using extra memory?



题意:在一组数组中除一个元素外其它元素都出现两次,找出这个元素

思路:位运算。异或。因为异或操作可以交换元素的顺序,所以元素异或的顺序没影响,
最后出现再次的元素都会被异或掉,相当于0和只出现一次的那个元素异或,结果还是那个元素

推广:这个方法也适合于出现其它元素都出现偶数次,而要找的元素出现奇数次的情况

复杂度:时间O(n),空间O(1)

相关题目:Single Number II


class Solution {
public:
    int singleNumber(int A[], int n) {
        int temp = 0;
        for(int i = 0; i < n; i++){
            temp = temp ^ A[i];
        }
        return temp;
    }
};