#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #pragma warning(disable:4996) //#define ATCODER #ifdef ATCODER #include #endif typedef long long ll; typedef unsigned long long ull; #define LINF 9223300000000000000 #define LINF2 1223300000000000000 #define LINF3 1000000000000 #define INF 2140000000 //const long long MOD = 1000000007; const long long MOD = 998244353; using namespace std; #ifdef ATCODER using namespace atcoder; #endif typedef pair P; vector dijkstra(int s, const vector > >& G) { priority_queue< P, vector

, greater

> que; vector d(G.size(), LINF); d[s] = 0; que.push(P(0, s)); while (!que.empty()) { ll curr = que.top().second; ll dcurr = que.top().first; que.pop(); if (d[curr] < dcurr) continue; int i; for (i = 0; i < (int)G[curr].size(); i++) { int next = G[curr][i].first; ll dist = G[curr][i].second; if (d[next] > d[curr] + dist) { d[next] = d[curr] + dist; que.push(P(d[next], next)); } } } return d; } void solve() { int n, m, a, b; scanf("%d%d%d%d", &n,&m,&a,&b); vector c(m); for (int i = 0; i < m; i++) { scanf("%d", &c[i]); } vector v0; for (int i = 1; i <= 100000; i++) { if (n%i == 0) { if (n / i < i) { break; } else { v0.push_back(i); if (n / i > i) { v0.push_back(n/i); } } } } sort(v0.begin(), v0.end()); int num = (int)v0.size(); vector lim(num, INF); for (int i = 0; i < num; i++) { for (int k = 0; k < m; k++) { if (c[k] % v0[i] == 0) { int tmp = c[k] / v0[i]; lim[i] = min(lim[i], tmp); } } } vector>> g(num); for (int i = 0; i < num; i++) { for (int j = i + 1; j < num; j++) { if (v0[j] % v0[i] == 0) { int tmp = v0[j] / v0[i]; if (lim[i] <= tmp) continue; ll cost = (ll)a * (tmp-1) + b; g[i].push_back(make_pair(j, cost)); } } } vector dist = dijkstra(0, g); ll ans = LINF; for (int i = 0; i < num; i++) { if (dist[i] < LINF) { int tmp = n / v0[i]; if (lim[i] <= tmp) continue; ll ans0 = dist[i] + (n / v0[i] - 1) * (ll)a; ans = min(ans, ans0); } } if (ans == LINF) { printf("-1\n"); } else { printf("%lld\n", ans); } return; } int main() { #if 1 solve(); #else int T, t; scanf("%d", &T); for (t = 0; t < T; t++) { //printf("Case #%d: ", t + 1); solve(); } #endif return 0; }