To save bandwidth and computation without sacrificing security while constructing a multi-receiver signcryption scheme, this study extended the paradigm namely the re-use of all randomness to another common scenario, proposed the re-use of partial randomness, and redefined the multi-receiver signcryption scheme, reproducible signcryption scheme, and security model to the re-use of partial randomness. It then given and proved the reproducibility theorem that the security condition of the re-use of partial randomness is that the scheme is reproducible. Finally, it proved that the LWWD16 signcryption scheme based on lattice is a reproducible signcryption scheme with the re-use of partial randomness, and firstly constructed a multi-message to multi-receiver signcryption scheme with the re-use of partial random numbers based on lattice, which satisfied the security of adaptively indistinguishable against chosen ciphertext attacks (IND-CCA2) and existentially unforgeable against chosen message attacks (euf-CMA). Efficiency analysis shows that the multi-message and multi-receiver signcryption scheme with the re-use of partial randomness can effectively save bandwidth and computation, and it provides a general construction method for multi-message to multi-receiver signcryption.