leetcode 23合并k个有序链表

解法一：优先队列

每次队列中存储第一个元素以及索引，弹出最小元素对应位置的数组位置+1

cpp 复制代码

/**
 * Definition for singly-linked list.
 * struct ListNode {
 *     int val;
 *     ListNode *next;
 *     ListNode() : val(0), next(nullptr) {}
 *     ListNode(int x) : val(x), next(nullptr) {}
 *     ListNode(int x, ListNode *next) : val(x), next(next) {}
 * };
 */
typedef pair<int, int> P;
class Solution {
public:
    ListNode* mergeKLists(vector<ListNode*>& lists) {
        ListNode *dummy = new ListNode(), *p = dummy;
        priority_queue<P> q;
        int n = lists.size();

        vector<int> pos(n, 1);

        for(int i=0;i<n;i++)
        {
            auto n = lists[i];
            if(n)
            {
                q.push(P(-n->val, i));
                n = n->next;
            }
        }

        while(q.size() > 0)
        {
            auto top = q.top();
            q.pop();

            auto idx = top.second;
            auto n = lists[idx];

            p->next = n;
            p = p->next;
            
            if(n->next)
            {
                lists[idx] = n->next;
                q.push(P(-n->next->val, idx));
            }
        }
        p = p->next;

        return dummy->next;
    }
};

解法二：归并法

和迭代型的归并排序类似，我们需要两两合并链表，以达到O(logN)的效果。为了方便，我们每次都把结果存在左边的链表，最后返回lists $0$ 即可。在操作时，遵循自底向上step模板（可先学迭代版归并排序）此题操作要稍微简单些。

cpp 复制代码

/**
 * Definition for singly-linked list.
 * struct ListNode {
 *     int val;
 *     ListNode *next;
 *     ListNode() : val(0), next(nullptr) {}
 *     ListNode(int x) : val(x), next(nullptr) {}
 *     ListNode(int x, ListNode *next) : val(x), next(next) {}
 * };
 */
class Solution {
public:
    ListNode* mergeKLists(vector<ListNode*>& lists) {
        int n = lists.size();
        if(n == 0)return nullptr;

        for(int step=1;step<n;step*=2)
        {
            for(int i=0;i+step<n;i+=step*2)
            {
                ListNode *l = lists[i], *r = lists[i+step];

                // 合并r到l
                ListNode *dummy = new ListNode();
                ListNode *last = dummy;
                while(l && r)
                {
                    if(l->val <= r->val)
                    {
                        last->next = l;
                        l = l->next;
                    }
                    else
                    {
                        last->next = r;
                        r = r->next;
                    }
                    last = last->next;
                }

                while(l)last->next = l, l=l->next, last = last->next;
                while(r)last->next = r, r=r->next, last = last->next;

                lists[i] = dummy->next;
            }
        }

        return lists[0];
    }
};