diff --git a/AcWing/871/871.cpp b/AcWing/871/871.cpp
new file mode 100644
index 00000000..7c394002
--- /dev/null
+++ b/AcWing/871/871.cpp
@@ -0,0 +1,32 @@
+#include <bits/stdc++.h>
+
+using namespace std;
+
+const int mod = 1000000007;
+
+int n, x;
+long long ans = 1;
+
+int main() {
+    cin >> n;
+    map<int, int> primes;
+    while (n--) {
+        cin >> x;
+        for (int i = 2; i * i <= x; i++) {
+            while (x % i == 0) {
+                x /= i;
+                primes[i]++;
+            }
+        }
+        primes[x] += x > 1;
+    }
+    for (auto p : primes) {
+        long long t = 1;
+        while (p.second--) {
+            t = (t * p.first + 1) % mod;
+        }
+        ans = ans * t % mod;
+    }
+    cout << ans << endl;
+    return 0;
+}