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National and Regional Contests
Moldova Contests
Moldova Team Selection Test
2024 Moldova Team Selection Test
1
1
Part of
2024 Moldova Team Selection Test
Problems
(1)
abc perfect cube
Source:
5/26/2013
If
a
b
+
b
c
+
c
a
\frac{a }{b}+ \frac{b}{c}+ \frac{c}{a}
b
a
+
c
b
+
a
c
is integer. show that
a
b
c
abc
ab
c
is perfect cube.
number theory
TST