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Java二分查找：别再傻傻遍历了，O(log n)效率直接封神

news 2026/7/15 0:47:35

Java 中的二分查找（ ）

那种被称作折半查找的二分查找,是针对有序数组去查找特定元素的一种高效算法, 和顺序查找比起来, 它的时间复杂度是O(log n), 极大地提升了查找效率, 在Java里, 实现二分查找存在多种方式, 本文会深入探究其基础概念、使用方法、常见实践还有最佳实践。

目录基础概念使用方法常见实践最佳实践小结参考资料基础概念

有序数组两部分被区分开来, 这是二分查找核心思想, 目标值跟中间元素大小经比较后, 每次决定查找方向是左半部分还是右半部分, 具体步骤如下:

把两个指针进行设定, 其中一个叫做left, 另一个叫做right, 让left指向的是数组的起始位置, right指向的是数组的结束位置。去计算中间位置, mid等于left加上(right减去left)再除以2。将目标值与arr做比较, 重复性地去执行步骤2以及步骤3, 一直到left大于right的时候, 这表明没有找到目标值, 此时返回-1。采用方法标准库当中的二分查找。

供二分查找方法的 Java 的 java.util. 类, 以下是使用示例:

import java.util.Arrays; public class BinarySearchExample { public static void main(String[] args) { int[] arr = {1, 3, 5, 7, 9, 11, 13}; int target = 7; int result = Arrays.binarySearch(arr, target); if (result >= 0) { System.out.println("目标值 " + target + " 找到，索引为: " + result); } else { System.out.println("目标值 " + target + " 未找到"); } } }

手写二分查找实现

public class ManualBinarySearch { public static int binarySearch(int[] arr, int target) { int left = 0; int right = arr.length - 1; while (left <= right) { int mid = left + (right - left) / 2; if (arr[mid] == target) { return mid; } else if (arr[mid] < target) { left = mid + 1; } else { right = mid - 1; } } return -1; } public static void main(String[] args) { int[] arr = {1, 3, 5, 7, 9, 11, 13}; int target = 7; int result = binarySearch(arr, target); if (result >= 0) { System.out.println("目标值 " + target + " 找到，索引为: " + result); } else { System.out.println("目标值 " + target + " 未找到"); } } }

常见实践查找目标值

按照有序数组之中去查找目标值的方式, 上述代码示例已然进行了展示, 这可是二分查找最为基础的应用场景。

查找目标值的插入位置

有时候, 我们要找寻到一个目标值所应当插入进有序数组里的位置。以下这些便是实现方法:

public class InsertionPosition { public static int searchInsertPosition(int[] arr, int target) { int left = 0; int right = arr.length; while (left < right) { int mid = left + (right - left) / 2; if (arr[mid] < target) { left = mid + 1; } else { right = mid; } } return left; } public static void main(String[] args) { int[] arr = {1, 3, 5, 7, 9, 11, 13}; int target = 8; int result = searchInsertPosition(arr, target); System.out.println("目标值 " + target + " 的插入位置为: " + result); } }

最佳实践边界条件处理性能优化小结

一种高效的查找算法是二分查找, 在Java里可借由标准库或者手写去实现。理解其基础概念, 还要掌握使用方法, 并且遵循最佳实践, 这能够有助于我们在处理有序数组查找问题之际提高效率以及代码质量。不管是查找目标值, 还是确定插入位置, 二分查找都彰显出其独特的优势。

参考资料

期望借助此文, 读者可以切实通透领会且高效运用Java里的二分查找算法。于实际运用当中, 按照确切需要灵活施展二分查找及其优化策略, 能够给程序性能带来明显提高。WWw.BlOg.GeVc.CoM.cN/Article/details/021370.sHtML
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