function spread_user_name($room_number)
{
    $result = mysql_query("select participated_user_id from participated_room where room_number = '{$room_number}'");
    echo "<participated_user_name>";
    while ($result1 = mysql_fetch_array($result)) {
        user_id_to_user_name($result1[0]);
        echo ",";
    }
    echo "</participated_user_name>";
}
<?php

echo "<?xml version = '1.0' encoding = 'euc-kr'?>";
include 'supervisor.php';
include 'iconv_encodeing.php';
include 'user_converter_for_spread_user_name.php';
include 'db_connect.php';
$room_number = iconv_encodeing($_GET["room_number"]);
$query = "select * from chat where room_number={$room_number}";
$result = mysql_query($query);
echo "<user_chat>";
while ($row = mysql_fetch_array($result)) {
    echo "<user_id>";
    echo user_id_to_user_name($row[2]);
    echo "</user_id>";
    echo "<chat>" . $row[1] . "</chat>";
    echo "<date>" . $row[3] . "</date>";
}
echo "</user_chat>";