number of the measurements. As one of the main stream quantum platforms, superconducting quantum computing (SQC) system at least requires 3n measurement settings consisted of single-qubit readout operators in reconstructing a n-qubit state. In this work, I add the 2-qubit evolutions as the readout operators, and propose an optimal tomographic scheme with the cost-reduced measurements using the integer programming. In detail, I present the minimum number of required measurements to fully reconstruct a state for the Nearest-Neighbor, 2-Dimensional, and All-to-All connectivities on SQC qubits. It is shown that this method can reduce the number of measurements by over 60% compared with the previous state tomography on SQC systems. It is expected that the experimentalist from SQC field can directly utilize the ready-made results for reconstructing quantum states involved in their research. Besides, this method can be applied to reduce the complexity of traditional state tomography in some quantum platforms including but not limited to SQC systems.