Codeforces Round #284 (Div. 1) C. Array and Operations 二分图匹配
因为只有奇偶之间有操作, 可以看出是二分图, 然后拆质因子, 二分图最大匹配求答案就好啦。
#include<bits/stdc++.h>
#define LL long long
#define fi first
#define se second
#define mk make_pair
#define PLL pair<LL, LL>
#define PLI pair<LL, int>
#define PII pair<int, int>
#define SZ(x) ((int)x.size())
#define ull unsigned long long
using namespace std; const int N = + ;
const int inf = 0x3f3f3f3f;
const LL INF = 0x3f3f3f3f3f3f3f3f;
const int mod = 1e9 + ;
const double eps = 1e-; int odd[N], even[N], ocnt, ecnt;
int L[N], R[N];
int G[N][N];
int match[N];
bool vis[N];
int n, m; int path(int u) {
for(int v = ; v <= ecnt; v++) {
if(G[u][v] && !vis[v]) {
vis[v] = true;
if(match[v] == - || path(match[v])) {
match[v] = u;
return ;
}
}
}
return ;
} int main() {
memset(match, -, sizeof(match));
scanf("%d%d", &n, &m);
for(int i = ; i <= n; i++) {
int x;
scanf("%d", &x);
if(i & ) {
L[i] = ocnt + ;
for(int j = ; j * j <= x; j++) {
if(x % j) continue;
while(x % j == ) {
odd[++ocnt] = j;
x /= j;
}
}
if(x > ) odd[++ocnt] = x;
R[i] = ocnt;
} else {
L[i] = ecnt + ;
for(int j = ; j * j <= x; j++) {
if(x % j) continue;
while(x % j == ) {
even[++ecnt] = j;
x /= j;
}
}
if(x > ) even[++ecnt] = x;
R[i] = ecnt;
}
}
while(m--) {
int u, v; scanf("%d%d", &u, &v);
if(v & ) swap(u, v);
for(int i = L[u]; i <= R[u]; i++)
for(int j = L[v]; j <= R[v]; j++)
if(odd[i] == even[j]) G[i][j] = ;
}
int ans = ;
for(int i = ; i <= ocnt; i++) {
memset(vis, false, sizeof(vis));
if(path(i)) ans++;
}
printf("%d\n", ans);
return ;
} /*
*/
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