LeetCode_461. Hamming Distance
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/*The Hamming distance between two integers is the number of positions at which the corresponding bits are different.
Given two integers x and y, calculate the Hamming distance.*/
题目的意思是:找到x和y的二进制位中,不相同的个数;
自己的思路的先将x,y转化为二进制存储,然后比较,结果超时了:
var hammingDistance = function(x, y) { var MAX = Math.pow(2, 32); if (x < 0 || y < 0 || x > MAX || y > MAX) { console.log("max"); return false } var arr1 = revertTobit(x); var arr2 = revertTobit(y); while (arr1.length != arr2.length) { if (arr1.length < arr2.length) { arr1.unshift(0); } else { arr2.unshift(0) } } var count = 0; for (var i = 0; i < arr1.length; i++) { if (arr1[i] != arr2[i]) { count++; } } return count;};/*将一个数转换为二进制数组存储*/var revertTobit = function(x) { var arr = []; while (x != 1) { var bit = x % 2; x = Math.floor(x / 2); arr.unshift(bit); } arr.unshift(1); return arr;}
正确的方法是采用位运算,x异或y 得到的z
关键在于计算z有多少个1,方法:
用z和z-1与运算;这样做的与运算每次都把最右边的1变为0,最后直到z为0;
var hammingDistance = function(x, y) { var count = 0; var n = x ^ y; while (n) { ++count; n = (n - 1) & n; } return count;};
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