Different return types with same function

I'm implementing my own time unit class. This class provides a function for fetching a specific time value (milliseconds, seconds etc.). In order to prevent defining several get() functions for each time unit, I tried to implement a single function to serve this purpose.

typedef unsigned char u_char;
typedef unsigned short u_short;
typedef unsigned long long u_ll;
typedef u_ll DAYS_DTYPE;
typedef u_char HOURS_DTYPE;
typedef u_char MINUTES_DTYPE;
typedef u_char SECONDS_DTYPE;
typedef u_short MILLISECONDS_DTYPE;

// used class members; max. values are handled class-internal
DAYS_DTYPE          m_days;         // max.: 18.446.744.073.709.551.615
HOURS_DTYPE         m_hours;        // max.: 23
MINUTES_DTYPE       m_minutes;      // max.: 59
SECONDS_DTYPE       m_seconds;      // max.: 59
MILLISECONDS_DTYPE  m_milliseconds; // max.: 999

// class-internal enum
enum TimeUnit { Milliseconds, Seconds, Minutes, Hours, Days };

// used member function
template <typename T>
T getTime(TimeUnit unit)
{
    switch (unit)
    {
    case Milliseconds: return m_milliseconds;
    case Seconds: return m_seconds;
    case Minutes: return m_minutes;
    case Hours: return m_hours;
    case Days: return m_days;
    default:
        break;
    }
}

In order to fetch a specific time unit I have to use sth. like this:

getTime<MILLISECONDS_DTYPE>(Time::Milliseconds))

Is this approach acceptable? In case it's not, what should I change?

Thx in advance. :)