We propose a protocol based on quantum teleportation and measurement-based computation allowing clients to conduct blind computation on the server with less information of input, output and computation revealed. Our protocol also requires less quantum resources on clients. There are two phases in our protocol, i.e., preparation and computation. Since we apply the small operation unit of an entanglement pair instead of cluster states or quantum gates, the server is able to serve more clients with limited resources, and provide flexible computation power and thus distribute his tasks with flexibility. The proposed protocol provides a new way to achieve blind computation with few quantum resources on clients and conceal clients' information from potential eavesdroppers. Moreover, to the best of our knowledge, the proposed protocol is the first to consider the reduction of the additional load on the server, and provides better scalability, flexibility and reliability for quantum blind computation.