• hdu1233 还是畅通工程 基础最小生成树


     1 //克鲁斯卡尔
     2 #include<iostream>
     3 #include<algorithm>
     4 using namespace std;
     5 const int maxn = 10005;
     6 struct node
     7 {
     8     int begin, end, len;
     9 }cun[maxn];
    10 int n, fa[maxn], ans, m;
    11 
    12 bool cmp(node a, node b)
    13 {
    14     return a.len<b.len;  //按长度有小到大排序 
    15 }
    16 
    17 void init()
    18 {
    19     for (int i = 0; i <= n; i++)
    20     {
    21         fa[i] = i;
    22     }
    23 }
    24 
    25 int find(int x)
    26 {
    27     if (x == fa[x])
    28         return fa[x];
    29     else
    30         return fa[x] = find(fa[x]);
    31 }
    32 
    33 void join(int a, int b)
    34 {
    35     a = find(a);
    36     b = find(b);
    37     if (a != b)
    38         fa[b] = a;
    39 }
    40 
    41 int kruskal()
    42 {
    43     sort(cun, cun + m, cmp);
    44     init();  //初始化并查集 
    45     ans = 0;
    46     for (int i = 0; i<m; i++)
    47     {
    48         if (find(cun[i].begin) != find(cun[i].end)) //一条边的两个端点不在同一个集合,则选他,并合并 
    49         {
    50             join(cun[i].begin, cun[i].end);
    51             ans += cun[i].len;
    52         }
    53     }
    54     return ans;
    55 }
    56 
    57 int main()
    58 {
    59     while (cin >> n)
    60     {
    61         if (n == 0) break;
    62         m = n*(n - 1) / 2;
    63         for (int i = 0; i<m; i++)
    64             cin >> cun[i].begin >> cun[i].end >> cun[i].len;
    65         cout << kruskal() << endl;
    66     }
    67     return 0;
    68 }
     1 //prim
     2 #include<iostream>
     3 #include<cstdio>
     4 #include<cstdlib>
     5 #include<cstring>
     6 #include<algorithm>
     7 using namespace std;
     8 
     9 #define INF 0x7fffffff
    10 # define MAXN 120
    11 typedef long long int LL;
    12 
    13 LL n, m;
    14 LL cmpa[MAXN][MAXN], book[MAXN], dis[MAXN];
    15 
    16 int main()
    17 {
    18     LL a, b, weight, ans, p, q, f1, f2, minn, mark;
    19     while (scanf("%I64d", &n) && n)
    20     {
    21         //初始化 这题prime算法合适,边那摩多,都是完全图了
    22         for (LL i = 0; i<MAXN; i++)
    23         {
    24             dis[i] = INF;
    25             for (LL j = 0; j<MAXN; ++j)
    26                 cmpa[i][j] = INF;
    27         }
    28 
    29         memset(book, 0, sizeof(book));
    30         ans = 0;
    31 
    32         for (LL i = 0; i<n*(n - 1) / 2; ++i)
    33         {
    34             scanf("%I64d %I64d %I64d", &a, &b, &weight);
    35             cmpa[a][b] = cmpa[b][a] = weight;
    36         }
    37 
    38         //连通图
    39         book[1] = 1;
    40         dis[1] = -1;
    41 
    42         for (LL t = 1; t<n; ++t)
    43         {
    44             for (LL i = 2; i <= n; ++i)
    45             {//更新dis中的值 
    46                 for (LL j = 1; j <= n; ++j)
    47                 {
    48                     if (book[j] && dis[i]>cmpa[i][j])
    49                     {  //j在树中 
    50                         dis[i] = cmpa[i][j];
    51                     }
    52                 }
    53             }
    54 
    55             //选点建树
    56             minn = INF, mark = 0;
    57             for (LL i = 2; i <= n; ++i)
    58             {
    59                 if (book[i])
    60                     continue;
    61                 else
    62                 {
    63                     if (dis[i] < minn)
    64                     {
    65                         minn = dis[i];
    66                         mark = i;
    67                         }
    68                 }
    69             }
    70 
    71             if (minn != INF)
    72             {
    73                 ans += minn;
    74                 book[mark] = 1;
    75                 dis[mark] = -1;
    76             }
    77                     
    78         }
    79         cout << ans << endl;
    80 
    81     }
    82     return 0;
    83 }
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  • 原文地址:https://www.cnblogs.com/ouyang_wsgwz/p/7225542.html
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