LRU缓存通过哈希表和双向链表实现,get和put操作均O(1):访问时移至链表头,满时删尾部节点。

实现一个LRU(Least Recently Used)缓存淘汰算法,核心是结合哈希表和双向链表,做到查询和更新都在 O(1) 时间完成。C++ 中可以通过 unordered_map 和自定义的双向链表节点来高效实现。
LRU 缓存需要满足:
为此,我们使用:
定义双向链表节点和缓存类框架:
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struct Node {
int key, value;
Node* prev;
Node* next;
Node(int k, int v) : key(k), value(v), prev(nullptr), next(nullptr) {}
};
缓存类包含:
封装两个辅助函数:
void removeNode(Node* node) {
node->prev->next = node->next;
node->next->prev = node->prev;
}
<p>void addToHead(Node* node) {
node->prev = head;
node->next = head->next;
head->next->prev = node;
head->next = node;
}</p>get 操作逻辑:
put 操作逻辑:
#include <unordered_map>
using namespace std;
<p>class LRUCache {
private:
struct Node {
int key, value;
Node<em> prev;
Node</em> next;
Node(int k, int v) : key(k), value(v), prev(nullptr), next(nullptr) {}
};</p><pre class='brush:php;toolbar:false;'>int capacity;
unordered_map<int, Node*> cache;
Node* head;
Node* tail;
void removeNode(Node* node) {
node->prev->next = node->next;
node->next->prev = node->prev;
}
void addToHead(Node* node) {
node->prev = head;
node->next = head->next;
head->next->prev = node;
head->next = node;
}
void moveToHead(Node* node) {
removeNode(node);
addToHead(node);
}
Node* removeTail() {
Node* node = tail->prev;
removeNode(node);
return node;
}public: LRUCache(int cap) : capacity(cap), size(0) { head = new Node(0, 0); tail = new Node(0, 0); head->next = tail; tail->prev = head; }
int get(int key) {
auto it = cache.find(key);
if (it == cache.end()) return -1;
Node* node = it->second;
moveToHead(node);
return node->value;
}
void put(int key, int value) {
auto it = cache.find(key);
if (it != cache.end()) {
Node* node = it->second;
node->value = value;
moveToHead(node);
} else {
Node* newNode = new Node(key, value);
cache[key] = newNode;
addToHead(newNode);
if (cache.size() > capacity) {
Node* removed = removeTail();
cache.erase(removed->key);
delete removed;
}
}
}
~LRUCache() {
Node* curr = head;
while (curr) {
Node* temp = curr;
curr = curr->next;
delete temp;
}
}};
这个实现保证了 get 和 put 都是 O(1) 时间复杂度,适合高频访问场景。注意手动管理内存或可改用智能指针。基本上就这些,不复杂但容易忽略细节比如指针连接顺序和析构处理。
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