If this were the TNG crew

Picard would be flattered

Riker would bang the photographer

Data would point out the fallacy as beautiful is generally applied to women while the term handsome would be more appropriate.

LaForge would jizz in his pants if the photographer was a woman

Dr. Crusher would be take it as a complement then use it to make Picard jealous

Troi would reply “I sense deception”

Worf would be unimpressed but it would bother him for periods of time and love rent free in his head

Yar would attack the photographer

Mine would be a look of confusion

I’d react the same, because saying such an outrageous thing is illogical

Were’s my Tuvix

DELETED as it got improved in another comment