This paper addresses the cooperative guidance problem for multiple hypersonic glide vehicles under complex terminal constraints and proposes a cooperative guidance method that integrates individual prediction-correction and group distributed consensus. The core innovation lies in constructing a two-layer cooperative guidance architecture. At the individual guidance layer, by combining optimal guidance with a prediction-correction strategy, high-precision integrated control over terminal position, flight path angle, azimuth angle, and impact time is achieved. At the group cooperation layer, a distributed cooperative framework with time-to-go as the coordination variable is designed. Considering the vehicles" trajectory characteristics and capability constraints, a coordination variable autonomous update algorithm based on consensus protocol and the mean method is proposed, thereby enabling autonomous time synchronization and trajectory coordination for multiple vehicles under leaderless conditions. Simulation results demonstrate that the proposed method can ensure the vehicle cluster simultaneously satisfies multiple terminal constraints and achieves high-precision time and space coordination under stringent spatiotemporal constraints.