Numeros Primos + MMC + MDC

Segue abaixo um exemplo de implementação de gerador de Números Primos + MMC (Mínimo Múltiplo Comum) + MDC (Máximo Divisor Comum) em java.
Obs: Resultado de uma prova de lógica que tive que fazer:

import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.List;

public class mdc {

    public static List<Integer> listPrimo = new ArrayList<Integer>();
    private static int MAX_VALUE = 1000;
    private static int MIN_VALUE = 1;

    public static void main(String[] args) {
        BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
        gerarPrimos(MAX_VALUE / 2 + 1);
        String continua = "S";
        while (continua.equalsIgnoreCase("s")) {
            try {
                int[] entrada = new int[3];
                List<Integer>[] mmc = new ArrayList[3];
                for (int i = 1; i <= 3; i++) {
                    String tmpInt = null;
                    while (tmpInt == null || !validaInt(tmpInt)) {
                        System.out.print("Entre com o " + i + "o valor: ");
                        tmpInt = in.readLine();
                        if (!validaInt(tmpInt)) {
                            System.out.println("valor errado!!!");
                        }
                    }

                    entrada[i - 1] = Integer.parseInt(tmpInt);
                    mmc[i - 1] = getMMC(entrada[i - 1]);
                    printMMC(mmc[i - 1]);
                    System.out.println();
                }

                List<Integer> result = new ArrayList<Integer>();
                for (int i = 0; i < mmc[0].size(); i++) {
                    if ((remove(mmc[0].get(i), mmc[1])) && (remove(mmc[0].get(i), mmc[2]))) {
                        result.add(mmc[0].get(i));
                    }
                }

                System.out.print("MDC: ");
                String sep = "";
                int multi = 1;
                for (Integer i : result) {
                    System.out.print(sep + i.intValue());
                    sep = " * ";
                    multi *= i.intValue();
                }
                System.out.println(" = " + multi);
                System.out.println();
                System.out.print("Deseja continuar (s/n):");
                continua = in.readLine();
            } catch (Exception e) {
                e.printStackTrace();
            }
        }
        System.out.print("fim.");
    }

    private static void printMMC(List l) {
        System.out.print("MMC: ");
        String sep = "";
        for (Object i : l) {
            int v = ((Integer) i).intValue();
            System.out.print(sep + i);
            sep = " + ";
        }
        System.out.println();
    }

    private static boolean remove(Integer v, List l) {
        for (int i = 0; i < l.size(); i++) {
            if (((Integer) l.get(i)).intValue() == v.intValue()) {
                l.remove(i);
                return true;
            }
        }
        return false;
    }

    public static List<Integer> getMMC(int v) {
        List<Integer> result = new ArrayList<Integer>();
        int i = 0;
        do {
            if (v % listPrimo.get(i) == 0) {
                v /= listPrimo.get(i);
                result.add(listPrimo.get(i));
            } else {
                i++;
            }
        } while (v != 1);
        return result;
    }

    private static boolean validaInt(String s) {
        int v = -1;
        try {
            v = Integer.parseInt(s);
        } catch (Exception e) {
            return false;
        }
        if (v <= MAX_VALUE && v >= MIN_VALUE) {
            return true;
        }
        return false;
    }

    public static void gerarPrimos(int ate) {
        int count = 0;
        System.out.println("gerando primos...");
        for (int i = 2; i <= ate; i++) {
            boolean ehPrimo = true;
            for (int j = 2; j < i; j++) {
                if (i % j == 0) {
                    ehPrimo = false;
                }
            }
            if (ehPrimo) {
                listPrimo.add(i);
            }
            if (ate % 5 == 0) {
                System.out.println(((count * 100) / ate) + "%");
            }
            count++;
        }
        System.out.println("primos OK...");
    }
}