Basta applicarsi un attimino...
codice:
import java.awt.*;
import java.awt.event.*;

public class Finestra extends Frame implements ActionListener {

   private TextField inputLine;
   private TextArea ta;
   private Button pulsante;
   private int indice;
   private int max_Array;
   private int [] numeri

   public Finestra() {
      max_Array = 10;
      numeri = new int[max_Array];
      indice = 0;
      setLayout( new BorderLayout() );
      inputLine = new TextField();
      pulsante = new Button("Inserisci");
      pulsante.addActionListener( this );
      ta = new TextArea()
      add(inputLine, BorderLayout.NORTH);
      add(pulsante, BorderLayout.SOUTH);
      add(ta, BorderLayout.CENTER);
      addWindowListener( new WindowAdapter() {
         public void windowClosing(WindowEvent we) { System.exit(0); }
      });
   }

   public void actionPerformed(ActionEvent ae) {
      if (indice < 10) {
         numeri[indice] = Integer.parseInt(inputLine.getText());
         ta.append("" + numeri[indice] + "\n");
         indice++;
      } else {
         // Visualizzo un messaggio d'errore
      }
   }

   public static void main(String [] args) {
      Finestra f = new Finestra();
   }
}
Ciao.