poj 2369 Permutations
2012-09-15 20:55
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这是一道简单的置换群的问题;
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#include<iostream> #include<cstdio> #include<cstdlib> #include<algorithm> #include<cmath> #include<queue> #include<set> #include<map> #include<cstring> #include<vector> #include<string> #define LL long long using namespace std; int Gcd( int a , int b ) { return b == 0? a : Gcd( b , a % b ); } int Solve( int N , int num[] ) { int ans = 1; bool visit[1024] = { 0 }; for( int i = 1; i <= N; i ++ ) { if( !visit[i] ) { visit[i] = true; int t = num[i],cnt=1; while( i != t ) { visit[t] = true; cnt ++; t = num[t]; } ans = (ans/Gcd( ans , cnt ))*cnt; } } return ans; } int main( ) { int num[1024],N; while( scanf( "%d",&N )==1 ) { for( int i = 1 ; i <= N ; i ++ ) { scanf( "%d",&num[i] ); } printf( "%d\n",Solve( N ,num ) ); } //system( "pause" ); return 0; }
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