477:汉明距离总和

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huangge1199 2021-05-28 08:24:55 +08:00
parent 44447da0aa
commit becdd62d1d
4 changed files with 79 additions and 2 deletions

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//两个整数的 汉明距离 指的是这两个数字的二进制数对应位不同的数量
//
// 计算一个数组中任意两个数之间汉明距离的总和
//
// 示例:
//
//
//输入: 4, 14, 2
//
//输出: 6
//
//解释: 在二进制表示中4表示为010014表示为11102表示为0010这样表示是为了体现后四位之间关系
//所以答案为
//HammingDistance(4, 14) + HammingDistance(4, 2) + HammingDistance(14, 2) = 2 +
//2 + 2 = 6.
//
//
// 注意:
//
//
// 数组中元素的范围为从 0到 10^9
// 数组的长度不超过 10^4
//
// Related Topics 位运算
// 👍 154 👎 0
package leetcode.editor.cn;
//477:汉明距离总和
public class TotalHammingDistance{
public static void main(String[] args) {
//测试代码
Solution solution = new TotalHammingDistance().new Solution();
System.out.println(solution.totalHammingDistance(new int[]{4, 14, 2}));
}
//力扣代码
//leetcode submit region begin(Prohibit modification and deletion)
class Solution {
public int totalHammingDistance(int[] nums) {
int length = nums.length;
int result = 0;
int size = 30;
for (int i = 0; i < size; ++i) {
int count = 0;
for (int num : nums) {
count += (num >> i) & 1;
}
result += count * (length - count);
}
return result;
}
}
//leetcode submit region end(Prohibit modification and deletion)
}

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<p>两个整数的&nbsp;<a href="https://baike.baidu.com/item/%E6%B1%89%E6%98%8E%E8%B7%9D%E7%A6%BB/475174?fr=aladdin">汉明距离</a> 指的是这两个数字的二进制数对应位不同的数量。</p>
<p>计算一个数组中,任意两个数之间汉明距离的总和。</p>
<p><strong>示例:</strong></p>
<pre>
<strong>输入:</strong> 4, 14, 2
<strong>输出:</strong> 6
<strong>解释:</strong> 在二进制表示中4表示为010014表示为11102表示为0010。这样表示是为了体现后四位之间关系
所以答案为:
HammingDistance(4, 14) + HammingDistance(4, 2) + HammingDistance(14, 2) = 2 + 2 + 2 = 6.
</pre>
<p><strong>注意:</strong></p>
<ol>
<li>数组中元素的范围为从&nbsp;<code>0</code>&nbsp;<code>10^9</code></li>
<li>数组的长度不超过&nbsp;<code>10^4</code></li>
</ol>
<div><div>Related Topics</div><div><li>位运算</li></div></div>\n<div><li>👍 154</li><li>👎 0</li></div>

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