new file: CF1614D2.cpp

CF1614D2.cpp

@@ -0,0 +1,45 @@
+#include<bits/stdc++.h>
+using namespace std;
+int n;
+const int maxa = 20000000;
+vector<int> prime;
+bool vis[20000005];
+int cnt[20000005];
+long long f[20000005];
+int a[100005];
+int main() {
+    for (int i = 2; i <= 20000000; ++i) {
+        if (!vis[i]) prime.push_back(i);
+        for (int p : prime) {
+            if (1ll * i * p > maxa) break;
+            vis[i * p] = true;
+            if (i % p == 0) break;
+        }
+    }
+    scanf("%d", &n);
+    for(int i = 1; i <= n; ++i) {
+        scanf("%d", &a[i]);
+    }
+    for(int i = 1; i <= n; ++i) {
+        for(int j = 1; j * j <= a[i]; ++j) {
+            if(a[i] % j == 0) {
+                cnt[j]++;
+                if(j * j != a[i]) ++cnt[a[i] / j]; 
+            }
+        }
+    }
+    for(int i = maxa; i >= 1; --i) {
+        f[i] = 1ll * i * cnt[i];
+        for(int j = 0; j < prime.size() && i * prime[j] <= maxa; ++j) {
+            f[i] = max(f[i], f[i * prime[j]] + 1ll * i * (cnt[i] - cnt[i * prime[j]]));
+        }
+    }
+    long long ans = 0;
+    for(int i = 1; i <= maxa; ++i) {
+        if(cnt[i] == n) {
+            ans = max(ans, f[i]);
+        }
+    }
+    printf("%lld\n", ans);
+    return 0;
+}