對如圖中給出的有序數(shù)對和(4,2)表示整數(shù)8可得,
(4,2)=
(4?1)×4 |
2 |
(3,1)=
(3?1)×3 |
2 |
(4,4)=
(4?1)×4 |
2 |
…,
由此可以發(fā)現(xiàn),對所有數(shù)對(m,n)(n≤m)有:
(m,n)=(1+2+3+…+m-1)+n=(
(m?1)×m |
2 |
所以,(63,56)=
(63?1)×63 |
2 |
故答案為:2009.
(4?1)×4 |
2 |
(3?1)×3 |
2 |
(4?1)×4 |
2 |
(m?1)×m |
2 |
(63?1)×63 |
2 |