Someone will doubtless point out who I've missed, but I believe that the UK, Japanese, Danish, and Portugese aircraft are those with RTMs, and that Italy, Canada, and the planned US version use the GE 'donk'.
The Danish engines are designated RTM 322-02/8 (the same as the RAF engine designation, according to Jane's, so massive doses of salt required) with a T-O rating of 1,670 kW (2,240 shp), but I understand that they may have a different DECU.
However, it appears that engine commonality between RAF/RDAF may be greater than between RAF/RN engines.