Based on the (1+1)-dimensional Snyder-Mitchell model,discussed is the interactions of a pair of optical beams and the three optical beams with some frequencies and polarizations co-propagating in (1+1)-dimensional strong nonlocal nonlinear media.The exact analytical solutions of the interactions are obtained for the arbitrarily oblique incident beams.The interactions of strongly nonlocal spatial optical solitons are the specific cases of such interactions.Through the collisional behavior of the solitons,the photonic switching/logic are presented.The optimal designs of these photonic devices are discussed.