Riddle me this ladies and gents:

When conducting a cat II or monitored approach, do both pilots log the approach? At my company, the FO flies the approach but at DH, if the runway is in sight, the captain takes over and continues the approach to a landing. Both crew members are required and integral for the approach. Both crew members manipulate the controls during the approach. So who gets to log it? Both? The FO? The captain? I know how I do it, I'm just curious how others do it.