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Problem 1
Macedonia National Olympiad 2016 Problem 1
Macedonia National Olympiad 2016 Problem 1
Source: Macedonia National Olympiad 2016
April 9, 2016
equation
number theory
Problem Statement
Solve the equation in the set of natural numbers
1
+
x
z
+
y
z
=
L
C
M
(
x
z
,
y
z
)
1+x^z + y^z = LCM(x^z,y^z)
1
+
x
z
+
y
z
=
L
CM
(
x
z
,
y
z
)
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