B737 MAX 8 pilot reported failure of both FMC displays and Captain's side navigation display and PFD during climb. While the flight crew was working through the QRH both FMCs returned to normal; and the crew continued to destination.

Narrative

During climb I noted and verbalized a Captain ND (Navigation Display) VTK (Vertical Track) alert; loss of FMC information on Captain ND; loss of Captain PFD (Primary Flight Display) flight director and loss of both FMC displays as AFDS (Autopilot and Flight Director System) degraded to CWS (Control Wheel Steering). F/O (First Officer) ND appeared normal. I engaged command B and selected LNAV/VNAV while calling for FMC FAIL QRH. Using QRH decision options we assessed the aircraft experienced a left FMC failure. Moments later both FMCs returned to normal operation prior to positioning FMC source select switch on the operating FMC. With normal flight management indications; we elected to discontinue QRH Checklist. We communicated with Operations; Dispatch and Maintenance and decided to continue to destination. On arrival Dispatch informed us of thunderstorms approaching the airport but flights were landing without incident. PM called the field in sight; and we were cleared for a Visual Approach. As we were configuring the aircraft to land; I noted and verbalized a loss of both PFD's Landing Altitude Reference Bars indicating final 1000 ft above touchdown. PM made altitude callouts using radar altimeter. Aircraft landed without incident and taxied to gate. ACARS postflight data showed final flap configuration selected at 900 ft.PFD abnormal indications on landing were effected by the L-FMC failure during climb. We assessed the failure was temporary after normal indications returned. If we had continued the QRH to its conclusion and positioned FMC source select switch on operative FMC we most likely would not have experienced the loss of Landing Altitude Reference information which contributed to delaying final flap configuration. Weather was also an additive condition and distraction. I'll make use of this experience and be more vigilant going forward. Maintenance met aircraft at gate and confirmed left FMC fault code indications.