Clean, wash and thinly slice the tomatoes and cucumber. For the pasta dough, knead 500 g flour, egg and approx. 200 ml milk to a firm dough. If the dough is too firm, add a tablespoonful of milk.
Divide the pasta dough into 6-7 portions and form into thin rolls (approx. 2 cm Ø) on a floured work surface. Cut the rolls into approx. 2 cm long pieces. Press a notch into the noodles with your index and middle finger.
Place the finished noodles on a flour-dusted sieve or baking tray.
Cook the noodles in portions in a wide pot with boiling salted water (approx. 1 teaspoon salt per litre) for 3-4 minutes until they float on top. Remove the finished noodles and let them drip off.
Grate cheese. Heat oil in portions in a pan. Fry the pasta and olives in portions. Season with pepper and possibly some salt, stir in about half of the cheese and let it melt.
Arrange the finished pasta with cucumber and tomatoes on plates. Sprinkle with remaining cheese.