Adams was a big fan of Pink Floyd (as well as the Beatles), especially the experimental albums of those bands and he wanted to achieve something like that. He was really influenced by those bands.
One of Adams's stated goals was to be experimental in the use of
sound. Being a fan of Pink Floyd and The Beatles (and especially the
experimental concept albums both bands produced in the late 1960s and
early 1970s), Adams wanted the programme to have the feel of a "rock
album...to convey the idea that you actually were on a spaceship or an
alien planet — that sense of a huge aural landscape"
Simpson, Hitchhiker, 108–109
Also, Adams was a personal friend with Gilmour (lead guitarist and singer) of Floyd. The latter even performed in the memorial service of the former.
You can hear them in this clip playing together on Adams's 42nd birthday: