teamnote history merge

2025fall/source/Math/PrimitiveRoot.cpp

@@ -0,0 +1,23 @@
+ll primary_root(ll p) {
+    std::random_device rd;
+    std::mt19937 gen(rd());
+    std::uniform_int_distribution<ll> distrib(1, p-1);
+    
+    //distrib(gen);
+    vl g = po_rho(p-1);
+    
+    while(true) {
+        ll c = distrib(gen);
+        
+        bool ok = true; ll u = p-1;
+        ll b = 1;
+        for(auto i:g) {
+            if(i != b) u = p-1;
+            ll x = pow(c, u/i, p);
+            if(x == 1) ok = false;
+            u /= i; b = i;
+        }
+        
+        if(ok) return c;
+    }
+}