I programmed this problem in my own project this way. in below code i am using
AlarmManager.ELAPSED_REALTIME_WAKEUP
to set alarm at a specific time.
the variable 'intentName' is used in the intentFilter to receiver this alarm. because i am firing many alarms of this type. when i cancel all alarms. i use the method cancel. given at bottom.
//to hold alarms and cancel when needed
     public static ArrayList<String> alarmIntens = new ArrayList<String>();
//
    public static String setAlarm(int hour, int minutes, long repeatInterval,
        final Context c) {
    /*
     * to use elapsed realTime monotonic clock, and fire alarm at a specific time
     * we need to know the span between current time and the time of alarm.
     * then we can add this span to 'elapsedRealTime' to fire the alarm at that time
     * this way we can get alarms even when device is in sleep mood
    */
    Time nowTime = new Time();
    nowTime.setToNow();
    Time startTime = new Time(nowTime);
    startTime.hour = hour;
    startTime.minute = minutes;
    //get the span from current time to alarm time 'startTime'
    long spanToStart = TimeUtils.spanInMillis(nowTime, startTime);
    //
    intentName = "AlarmBroadcast_" + nowTime.toString();
    Intent intent = new Intent(intentName);
    alarmIntens.add(intentName);
    PendingIntent pi = PendingIntent.getBroadcast(c, alarms++, intent,
            PendingIntent.FLAG_UPDATE_CURRENT);
    //
    AlarmManager am = (AlarmManager) c
            .getSystemService(Context.ALARM_SERVICE);
    //adding span to elapsedRealTime
    long elapsedRealTime = SystemClock.elapsedRealtime();
    Time t1 = new Time();
    t1.set(elapsedRealTime);
    t1.second=0;//cut inexact timings, seconds etc
    elapsedRealTime = t1.toMillis(true);
    if (!(repeatInterval == -1))
        am.setRepeating(AlarmManager.ELAPSED_REALTIME_WAKEUP,
                elapsedRealTime + spanToStart, repeatInterval, pi);
    else
        am.set(AlarmManager.ELAPSED_REALTIME_WAKEUP, elapsedRealTime
                + spanToStart, pi);
where span function is this:
 public static long spanInMillis(Time startTime, Time endTime) {
    long diff = endTime.toMillis(true) - startTime.toMillis(true);
    if (diff >= 0)
        return diff;
    else
        return AlarmManager.INTERVAL_DAY - Math.abs(diff);
}
alarm cancel function is this.
public static void cancel(Context c) {
    AlarmManager am = (AlarmManager) c
            .getSystemService(Context.ALARM_SERVICE);
    // cancel all alarms
    for (Iterator<String> iterator = alarmIntens.iterator(); iterator
            .hasNext();) {
        String intentName = (String) iterator.next();
        // cancel
        Intent intent = new Intent(intentName);
        PendingIntent pi = PendingIntent.getBroadcast(c, 0, intent,
                PendingIntent.FLAG_UPDATE_CURRENT);
        am.cancel(pi);
        //
        iterator.remove();
    }
}