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methods - Converting Integers to Roman Numerals - Java

This is a homework assignment I am having trouble with.

I need to make an integer to Roman Numeral converter using a method. Later, I must then use the program to write out 1 to 3999 in Roman numerals, so hardcoding is out. My code below is very bare-bones; it is a basic I/O loop with a way to exit while using a package for getIntegerFromUser we made in class.

Is there a way to assign values to Strings and then add them together when I call the method?

Update: I got some pseudo code from my professor to help me, and while I understand what he is trying to say, I am having some trouble with the ifs. Will I be needing many, many if statements so that my converter will correctly handle the Roman numeral formatting or is there a manner in which I can do this with more efficiency? I've updated my code to reflect my placeholder method.

Update (Oct 28 2012): I got it working. Here's what I ended up using:

public static String IntegerToRomanNumeral(int input) {
    if (input < 1 || input > 3999)
        return "Invalid Roman Number Value";
    String s = "";
    while (input >= 1000) {
        s += "M";
        input -= 1000;        }
    while (input >= 900) {
        s += "CM";
        input -= 900;
    }
    while (input >= 500) {
        s += "D";
        input -= 500;
    }
    while (input >= 400) {
        s += "CD";
        input -= 400;
    }
    while (input >= 100) {
        s += "C";
        input -= 100;
    }
    while (input >= 90) {
        s += "XC";
        input -= 90;
    }
    while (input >= 50) {
        s += "L";
        input -= 50;
    }
    while (input >= 40) {
        s += "XL";
        input -= 40;
    }
    while (input >= 10) {
        s += "X";
        input -= 10;
    }
    while (input >= 9) {
        s += "IX";
        input -= 9;
    }
    while (input >= 5) {
        s += "V";
        input -= 5;
    }
    while (input >= 4) {
        s += "IV";
        input -= 4;
    }
    while (input >= 1) {
        s += "I";
        input -= 1;
    }    
    return s;
}
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A compact implementation using Java TreeMap and recursion:

import java.util.TreeMap;

public class RomanNumber {

    private final static TreeMap<Integer, String> map = new TreeMap<Integer, String>();

    static {

        map.put(1000, "M");
        map.put(900, "CM");
        map.put(500, "D");
        map.put(400, "CD");
        map.put(100, "C");
        map.put(90, "XC");
        map.put(50, "L");
        map.put(40, "XL");
        map.put(10, "X");
        map.put(9, "IX");
        map.put(5, "V");
        map.put(4, "IV");
        map.put(1, "I");

    }

    public final static String toRoman(int number) {
        int l =  map.floorKey(number);
        if ( number == l ) {
            return map.get(number);
        }
        return map.get(l) + toRoman(number-l);
    }

}

Testing:

public void testRomanConversion() {

    for (int i = 1; i<= 100; i++) {
        System.out.println(i+" = "+RomanNumber.toRoman(i));
    }

}

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